若lim[f(x)/g(x)]=A,那么lim[g(x)/f(x)]是不是就等于1/A呢? 就像无穷大和无穷小一样,可以把分子、分母颠倒?如果是dx/dy=1/y' ,能不能认为dy/dx=y'呢?最重要的是：为什么?麻烦各位大侠们,请解释一下?是怎么想的、分析的?为什么行?或为什么不行?概念实在很混乱,还请高手们多多指教啊~~~ 感激不尽~~~非常感谢 我不是他舅 的解答。但dx/dy=1/y' ，如果等同于dy/dx=y'，但这不是反函数的求导法则吗？若是对任意函数均成立，岂不是意味着：任意函数都自为反函数了吗？这显然不太对吧~~~ 为什么呢？还有同济六版 高等数学 上册的103页4题，怎么能运用dy/dx=y'，推导出结论d^2x/dy^2=-y''/(y')^3呢？

reporters yesterday (7) from Dongguan City Science and Technology Bureau, the city is preparing "12 5" strategic new industry development plan, preliminary plan will be LED, electric vehicles, high-end electronic information industry as the three major key targets for assistance, support measures include the key technology research, public innovation platform, construction of key laboratories and engineering centers,world of warcraft powerleveling, demonstration and application projects. Specific plans for more than three major industries by Science and Technology Bureau, Development and Reform Council, led by the Council drafted a letter, for the third quarter of this year. Science and Technology Bureau official said that the strategic planning major new industry for the annual selection of the best support for 5-6 major projects, to promote R & D and industrialization of its accelerated pace, such as the 2010 major science and technology projects in our city and * and Guangdong tender Dongguan special program arranged 100 million yuan start electric vehicles,wow power leveling, cloud computing and other major projects, each project funding of not less than 10 million yuan next year, special funds will be further increased to 200 million ~ 300 million yuan. ■ Scan LED formed a complete industry chain at the end of 2009, the city has been engaged in LED lighting technology and product development, production and application of more than 70 companies, more than 4 billion yuan in output value, the product distribution in the substrate material, chips, package, application and supporting materials and other links, formed a complete industrial chain, industrial chain in the formation of a certain middle and lower reaches of industrial clusters. Electric cars is still a blank piece of rotating electric motor car industry is divided into three blocks: electric vehicle batteries, rotating motor,power leveling, electric control system. At present the city in car batteries have a foundation, already has two lithium battery manufacturer in the electronic control system, the city has been associated with the Chinese Academy of cooperation USTC intention, and in turn the motor,power leveling, the city is still not related institutions or enterprises, the urgent need to introduce leading enterprises. City electric company as a strategic industry to support emerging after the introduction of relevant policies will introduce and cultivate strong industry-wide business, which is aspiring to join the electric vehicle industry, Dongguan, institutions and enterprises is undoubtedly an opportunity. Songshan Lake has tested high-end electronic information Shuiyun Songshanhu has introduced advance calculation of the current international, the world of technology and Yang Ling letter can be more than technology services such as information technology organizations, want to develop cloud computing industry in Dongguan. The three companies will Dongguan, Guangdong Electronics Industry Institute, the leading cloud computing platform to share resources, mainly in mobile phones, industrial supply chain, and 3C services, for cloud computing. It is reported that these enterprises as early as last November to bring equipment into Songshan Lake, has been successful internal testing. City to be prepared, "12 5" strategic new industry development plan, now being intensively planning preparation. The planning is related to the future in Dongguan, also closely related to your business. Dongguan Daily to launch "new industry think tank" column to provide you with suggestions and ideas of the platform, and policy makers to seek common development blueprint for the emerging industry of Dongguan. Welcome to Paizhuan, your suggestions will be the first time feedback related to the development planning unit or individual. (Edit Zhang Ying) by: Tao dumpu
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A≠0时,是成立的
若A=0
则1/A不存在
所以A=0时,lim[g(x)/f(x)]不存在
dx/dy=1/y' ,则dy/dx=y'
这是对的

原式=(a+1)x²+(2b-2)xy-x+y
前两项是二次项
所以他们的系数为0
a+1=0,2b-2=0
a=-1,b=1
所以5a-8b=-5-8=-13
x-1≥1-x
2x≥2
x≥1
x+8>4x-1
3xx所以1≤x所以整数解是x=1,x=2