毕业设计论文等价无穷小量的性质及推广应用

evaluation of scientific development. Nature security type-nature security is to maintenance people of health value for target, through strengthening security based management, and risk management, and equipment management and technology supervision, ensure production in the people, and real, and system, and system, elements security reliable, and harmony unified, full control various against factors, achieved thought no slack, and management no empty document, and equipment no hidden, and system no blocked, and unit zero non-stopped. Quality and efficiency-quality benefit is to adhere to the enterprise survival, profit and development business truth, adhere to the all activity is economic activity, all costs can be controlled, money should not be wasted management philosophy, management analysis, to improve management quality, improve cost control capacity and market competitiveness. Innovation of science and technology-science and technology innovation is to play the role of science and technology as the primary productive force, active use of new technologies, new materials, new processes, new equipment, increase investment in science and technology, strengthening scientific and technological training, speeding up transforming scientific and technological achievements, forming a number of proprietary technology, enhancing core competitiveness. Resource-saving-the-resources saving enterprise was to reduce coal consumption, water consumption, electricity at the core, enhance the operation of lean management to realize low consumption, high efficiency, reduce production costs. Second is to strengthen the business, financial, material, information and the optimization of organization and management, saving the internal transaction costs. Harmonious development of harmonious development-is to construct a foreign environment for development. XING refers to the internal security firm and internal management of the internal management measures are effective, harmonious. Foreign currency means Enterprise coordinating development of homeopathy, well, get along with the neighbors better. (B) XX 2013 five enterprises building intrinsic safety power company goals are: unplanned outage 0 times. Class of disorders 0, 0 is equivalent forced outage rate. No personal injury accident, material and equipment accidents do not occur, no fire, no environmental pollution accident. Enterprise integrated to achieve zero cases of violation, zero accidents, zero. Quality goal is: when generating capacity 7.5 billion-kilowatt, sales of over 7.11 billion kWh, total profits of 306.6 million Yuan, . BFS+、PI、MIS、SCM Information systems infrastructure, fully integrated information system to realize information resources sharing; to expand the breadth and depth of the portal system, information system of Enterprise Management Assistant role to play; to improve the day-to-day operation and maintenance operation record of promoting causes and transfer system; to strengthen the trainingsupervision in large and medium goods vehicle. A is established large vehicles and small vehicles classification management of motor vehicle test mode, increased medium van car, and dangerous goods transport car, and school car test project; II is established motor vehicle test regulatory platform, achieved motor vehicle test full process video, and data remote regulatory; three is strictly motor vehicle identification management, equipped with unified of identification equipment and tool, using mobile identification Terminal, and law enforcement records instrument, technology identification means. As to 20XX years June 20 statewide motor vehicle keep volume for 567,408 car, and last year earlier than growth 75,814 car, growth 13.36%; this year January-June, vehicles management section and license archives management section total accepted the motor vehicle registration business 42,543 car times, which registered registration 6,905 car times, and transfer registration 3,592 car times, and change registration 1033 car times, and mortgage registration 696 car times, and cancellation registration 187 car times, and into business 980 car times, and Archives corrections 81 pieces times, and issued test qualified logo 25,429 car times, and other vehicles business 3,640 car times; supervision Survey Section relies on motor vehicle detection remote issued test qualified logo software platform supervision motor vehicle test, and identification situation 7418l liangci, investigation motor vehicle exception business 30 car times, his pards business warning 244 article, vehicles and driving people sound video regulatory screenshots 1852 Zhang, checks motor vehicle archives 716 pieces times, and medium bus, and medium above truck, and Of hazardous chemicals, vehicles and school buses and other key vehicle inspection record of 420. (C) based on their own, and strict adherence to defense, more cheating, false false fugitive suspects, robbery suspect vehicles and the Internet crackdown. DMV full play to the first line of Defense position control, investigating cheating, fake identification and robbery suspect vehicles through operational work, and carefully examine the documents and legal proof, check traffic violations, traffic accidents, the fugitive suspect suspected vehicles and theft than to work, further tight car, driving management business formalities review procedures. . Truck driver information management platform. Motor vehicles and traffic police departments, State transport authority to further clarify the Division of labour, implementation responsibility, strengthen our collaboration and management together, reinforcing the management of drivers on which strongly synthetic warfare and information warfare. 3 strictly implemented. From May 1 up, a is implemented complex road and bad weather driving exam, currently DMV is urged contractors party in treasures driving school increased simulation Highway, and continuous urgent detours, and snow days, and wet sliding road, and burst situation disposal, subjects II field to driving exam project, is expected各专业完整优秀毕业论文设计图纸等价无穷小量的性质及推广应用等价无穷小量的性质及推广应用 摘摘 要要 等价无穷小量具有很好的性质,灵活运用这些性质,无论是在求极限的运算中,还是在正项级数的敛散性判断中,都可取到预想不到的效果,能达到洛比达法则所不能取代的作用.通过举例,对比了不同情况下等价无穷小量的应用以及在应用过程中应注意的一些性质条件,不仅使这些原本复杂的问题简单化,而且可避免出现错误地应用等价无穷小量.关键词：关键词：等价无穷小量;极限;洛必达法则;比较审敛法;优越性evaluation of scientific development. Nature security type-nature security is to maintenance people of health value for target, through strengthening security based management, and risk management, and equipment management and technology supervision, ensure production in the people, and real, and system, and system, elements security reliable, and harmony unified, full control various against factors, achieved thought no slack, and management no empty document, and equipment no hidden, and system no blocked, and unit zero non-stopped. Quality and efficiency-quality benefit is to adhere to the enterprise survival, profit and development business truth, adhere to the all activity is economic activity, all costs can be controlled, money should not be wasted management philosophy, management analysis, to improve management quality, improve cost control capacity and market competitiveness. Innovation of science and technology-science and technology innovation is to play the role of science and technology as the primary productive force, active use of new technologies, new materials, new processes, new equipment, increase investment in science and technology, strengthening scientific and technological training, speeding up transforming scientific and technological achievements, forming a number of proprietary technology, enhancing core competitiveness. Resource-saving-the-resources saving enterprise was to reduce coal consumption, water consumption, electricity at the core, enhance the operation of lean management to realize low consumption, high efficiency, reduce production costs. Second is to strengthen the business, financial, material, information and the optimization of organization and management, saving the internal transaction costs. Harmonious development of harmonious development-is to construct a foreign environment for development. XING refers to the internal security firm and internal management of the internal management measures are effective, harmonious. Foreign currency means Enterprise coordinating development of homeopathy, well, get along with the neighbors better. (B) XX 2013 five enterprises building intrinsic safety power company goals are: unplanned outage 0 times. Class of disorders 0, 0 is equivalent forced outage rate. No personal injury accident, material and equipment accidents do not occur, no fire, no environmental pollution accident. Enterprise integrated to achieve zero cases of violation, zero accidents, zero. Quality goal is: when generating capacity 7.5 billion-kilowatt, sales of over 7.11 billion kWh, total profits of 306.6 million Yuan, . BFS+、PI、MIS、SCM Information systems infrastructure, fully integrated information system to realize information resources sharing; to expand the breadth and depth of the portal system, information system of Enterprise Management Assistant role to play; to improve the day-to-day operation and maintenance operation record of promoting causes and transfer system; to strengthen the trainingsupervision in large and medium goods vehicle. A is established large vehicles and small vehicles classification management of motor vehicle test mode, increased medium van car, and dangerous goods transport car, and school car test project; II is established motor vehicle test regulatory platform, achieved motor vehicle test full process video, and data remote regulatory; three is strictly motor vehicle identification management, equipped with unified of identification equipment and tool, using mobile identification Terminal, and law enforcement records instrument, technology identification means. As to 20XX years June 20 statewide motor vehicle keep volume for 567,408 car, and last year earlier than growth 75,814 car, growth 13.36%; this year January-June, vehicles management section and license archives management section total accepted the motor vehicle registration business 42,543 car times, which registered registration 6,905 car times, and transfer registration 3,592 car times, and change registration 1033 car times, and mortgage registration 696 car times, and cancellation registration 187 car times, and into business 980 car times, and Archives corrections 81 pieces times, and issued test qualified logo 25,429 car times, and other vehicles business 3,640 car times; supervision Survey Section relies on motor vehicle detection remote issued test qualified logo software platform supervision motor vehicle test, and identification situation 7418l liangci, investigation motor vehicle exception business 30 car times, his pards business warning 244 article, vehicles and driving people sound video regulatory screenshots 1852 Zhang, checks motor vehicle archives 716 pieces times, and medium bus, and medium above truck, and Of hazardous chemicals, vehicles and school buses and other key vehicle inspection record of 420. (C) based on their own, and strict adherence to defense, more cheating, false false fugitive suspects, robbery suspect vehicles and the Internet crackdown. DMV full play to the first line of Defense position control, investigating cheating, fake identification and robbery suspect vehicles through operational work, and carefully examine the documents and legal proof, check traffic violations, traffic accidents, the fugitive suspect suspected vehicles and theft than to work, further tight car, driving management business formalities review procedures. . Truck driver information management platform. Motor vehicles and traffic police departments, State transport authority to further clarify the Division of labour, implementation responsibility, strengthen our collaboration and management together, reinforcing the management of drivers on which strongly synthetic warfare and information warfare. 3 strictly implemented. From May 1 up, a is implemented complex road and bad weather driving exam, currently DMV is urged contractors party in treasures driving school increased simulation Highway, and continuous urgent detours, and snow days, and wet sliding road, and burst situation disposal, subjects II field to driving exam project, is expected目目 录录1 引言 .32 文献综述 .32.1 国内外研究现状 .32.2 国内外研究现状评价 .32.3 提出问题 .33 等价无穷小量的概念及其重要性质.33.1 等价无穷小量的概念 .43.2 等价无穷小量的重要性质.53.3 等价无穷小量性质的推广.54 等价无穷小量的应用 .94.1 求函数的极限.94.2 等价无穷小量在近似计算中的应用.104.3 利用等价无穷小量和泰勒公式求函数极限.104.4 等价无穷小量在判断级数收敛中的应用 .115 等价无穷小量的优势.125.1 运用等价无穷小量求函数极限的优势.125.2 等价无穷小量在求函数极限过程中的优势 .146 结论 .156.1 主要发现.156.2 启示.156.3 局限性.166.4 努力方向.16参 考 文 献 .17evaluation of scientific development. Nature security type-nature security is to maintenance people of health value for target, through strengthening security based management, and risk management, and equipment management and technology supervision, ensure production in the people, and real, and system, and system, elements security reliable, and harmony unified, full control various against factors, achieved thought no slack, and management no empty document, and equipment no hidden, and system no blocked, and unit zero non-stopped. Quality and efficiency-quality benefit is to adhere to the enterprise survival, profit and development business truth, adhere to the all activity is economic activity, all costs can be controlled, money should not be wasted management philosophy, management analysis, to improve management quality, improve cost control capacity and market competitiveness. Innovation of science and technology-science and technology innovation is to play the role of science and technology as the primary productive force, active use of new technologies, new materials, new processes, new equipment, increase investment in science and technology, strengthening scientific and technological training, speeding up transforming scientific and technological achievements, forming a number of proprietary technology, enhancing core competitiveness. Resource-saving-the-resources saving enterprise was to reduce coal consumption, water consumption, electricity at the core, enhance the operation of lean management to realize low consumption, high efficiency, reduce production costs. Second is to strengthen the business, financial, material, information and the optimization of organization and management, saving the internal transaction costs. Harmonious development of harmonious development-is to construct a foreign environment for development. XING refers to the internal security firm and internal management of the internal management measures are effective, harmonious. Foreign currency means Enterprise coordinating development of homeopathy, well, get along with the neighbors better. (B) XX 2013 five enterprises building intrinsic safety power company goals are: unplanned outage 0 times. Class of disorders 0, 0 is equivalent forced outage rate. No personal injury accident, material and equipment accidents do not occur, no fire, no environmental pollution accident. Enterprise integrated to achieve zero cases of violation, zero accidents, zero. Quality goal is: when generating capacity 7.5 billion-kilowatt, sales of over 7.11 billion kWh, total profits of 306.6 million Yuan, . BFS+、PI、MIS、SCM Information systems infrastructure, fully integrated information system to realize information resources sharing; to expand the breadth and depth of the portal system, information system of Enterprise Management Assistant role to play; to improve the day-to-day operation and maintenance operation record of promoting causes and transfer system; to strengthen the trainingsupervision in large and medium goods vehicle. A is established large vehicles and small vehicles classification management of motor vehicle test mode, increased medium van car, and dangerous goods transport car, and school car test project; II is established motor vehicle test regulatory platform, achieved motor vehicle test full process video, and data remote regulatory; three is strictly motor vehicle identification management, equipped with unified of identification equipment and tool, using mobile identification Terminal, and law enforcement records instrument, technology identification means. As to 20XX years June 20 statewide motor vehicle keep volume for 567,408 car, and last year earlier than growth 75,814 car, growth 13.36%; this year January-June, vehicles management section and license archives management section total accepted the motor vehicle registration business 42,543 car times, which registered registration 6,905 car times, and transfer registration 3,592 car times, and change registration 1033 car times, and mortgage registration 696 car times, and cancellation registration 187 car times, and into business 980 car times, and Archives corrections 81 pieces times, and issued test qualified logo 25,429 car times, and other vehicles business 3,640 car times; supervision Survey Section relies on motor vehicle detection remote issued test qualified logo software platform supervision motor vehicle test, and identification situation 7418l liangci, investigation motor vehicle exception business 30 car times, his pards business warning 244 article, vehicles and driving people sound video regulatory screenshots 1852 Zhang, checks motor vehicle archives 716 pieces times, and medium bus, and medium above truck, and Of hazardous chemicals, vehicles and school buses and other key vehicle inspection record of 420. (C) based on their own, and strict adherence to defense, more cheating, false false fugitive suspects, robbery suspect vehicles and the Internet crackdown. DMV full play to the first line of Defense position control, investigating cheating, fake identification and robbery suspect vehicles through operational work, and carefully examine the documents and legal proof, check traffic violations, traffic accidents, the fugitive suspect suspected vehicles and theft than to work, further tight car, driving management business formalities review procedures. . Truck driver information management platform. Motor vehicles and traffic police departments, State transport authority to further clarify the Division of labour, implementation responsibility, strengthen our collaboration and management together, reinforcing the management of drivers on which strongly synthetic warfare and information warfare. 3 strictly implemented. From May 1 up, a is implemented complex road and bad weather driving exam, currently DMV is urged contractors party in treasures driving school increased simulation Highway, and continuous urgent detours, and snow days, and wet sliding road, and burst situation disposal, subjects II field to driving exam project, is expected31 1 引言引言等价无穷小量概念是微积分理论中最基本的概念之一,但在微积分理论中等价无穷小量的性质仅仅在“无穷小的比较”中出现过,其他地方似乎都未涉及到.其实,在判断广义积分、级数的敛散性,特别是在求极限的运算过程中,无穷小具有很好的性质,掌握并充分利用好它的性质,往往会使一些复杂的问题简单化,可起到事半功倍的效果,反之,则会错误百出,有时还很难判断错在什么地方.因此,有必要对等价无穷小量的性质进行深刻地认识和理解,以便恰当运用,达到简化运算的目的.2 2 文献综述文献综述2.12.1 国内外研究现状国内外研究现状 现查阅到的国内外参考文献115中，作者们都不同程度地探讨了等价无穷小的概念及其重要性质和应用。文献1同济大学应用数学系主编.高等数学.杨文泰 的文献2都从不同程度上讲解了 等价无穷小的概念。彭康青,马振民的文献5，尤晓琳,吴振芬的文献4屈红萍,赵文燕的文献8都对等价无穷小求极限进行了讲解研究并得出一些方法；文献3王斌对用罗比塔法则求未定式极限的局限性进行了探讨。冯录祥，段丽凌,杨贺菊，王强，龚萍，张云霞，陈大桥，张高明，李权，蹇小平， 殷君芳等分别在文献6，7,9-15中对等价无穷小进行了一定的讲解与探究，提出了一些合理的应用方法和推广实例，但存在一定的极限.2.22.2 国内外研究现状评价国内外研究现状评价在查阅到的国内外参考文献1-15中，对等价无穷小作了一定的研究，给出了一些建议与方法，但系统性不强，比较零散，但在数学中，等价无穷小的应用是很重要的。2.32.3 提出问题提出问题本文在查阅到的相关参考文献的基础上，对等价无穷小的应用，提出了开门见山直接导入，并通过相关例题说明其概念，性质及其应用。3 3 等价无穷小量的概念及其重要性质等价无穷小量的概念及其重要性质evaluation of scientific development. Nature security type-nature security is to maintenance people of health value for target, through strengthening security based management, and risk management, and equipment management and technology supervision, ensure production in the people, and real, and system, and system, elements