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

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/19 05:43:01
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

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
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?

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
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
3x<9
x<3
所以1≤x<3
所以整数解是x=1,x=2

14858/958

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-en...

全部展开

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 Hong Kong 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
The Relative News:


power leveling Lawrence Simon

wow power leveling After a meteoric rise

world of warcraft powerleveling logistics

wow power leveling such as the U.S. group

wow power leveling - Nepal

Girls in primary schools, said suicide by drinking insectic

power leveling LONDON

power leveling Zhejiang

收起

若lim f(x)=A,而lim g(x)不存在,则lim(f(x)+g(x))=?(题中lim都是x趋近于x0) lim(x->∞)[g(x)-f(x)]=0,若lim(x->∞)g(x)存在,那么f(x)是不是一定存在啊? 判断对错,回答时说明理由1.若lim(x->a)f(x)g(x)和lim(x->a)f(x)都存在,则lim(x->a)g(x)也存在2.若lim(x->a)f(x)和lim(x->a)g(x)都不存在,则lim(x->a)f(x)/g(x)也不存在3.若f(x)>g(x)且lim(x->a)f(x)和lim(x->a)g(x)都存在,则必 高数 幂的极限等于极限的幂吗?如果lim(x→x0)时,f(X)=A,g(X)=B,那么lim(f(X))^g(x)=A^B吗?就是说如果那么 x趋于x0的时候lim f(x)=A lim g(x)=B 证明lim[f(x)-g(x)]=A-B 关于高数极限的乘法运算问题书上极限运算法则:如果lim f(x)=A,lim g(x)=B.那么lim[f(x)•g(x)]=lim f(x)•lim g(x)=A•B就是说在两个极限都存在的情况下才能将乘法的极限化为极限的乘法. 证明lim[f(x)/g(x)]=lim[f'(x)/g'(x)] 设f ' (0)=a,g ' (0)=b,且f(0)=g(0),计算lim((f(x)-g(-x))/x) lim下面是x→0 lim(x→x0) f(X)/g(x)=A 可不可以换成lim(x→x0) f(X)=A g(x) 若lim(x趋近于x零f(x)=A,lim(x趋x零)g(x)=无穷大,x趋于x0 ,证明[f(x)+g(x)]不存在. 今天我在同济六版的高数课本里面看到一道习题,是关于函数极限四则运算的lim f(x)存在,但lim g(x)不存在,那么lim{f(x)+g(x)}不存在 (判断对错)它答案里面有一个lim g(x)=lim{f(x)+g(x)}—lim (f(x)但问 请问(x趋于a)lim[f(x)-f(a)]/(x-a)^2=-1,求导数f'(a)(x趋于a)lim[f(x)-f(a)]/(x-a)^2=-1,求导数f'(a)还有如果 limf(x)/g(x)=-1,且limg(x)=0,那么可以推出limf(x)=0吗 若lim(x->0)f(x)=0,则当g(x)有界,必有lim(x->0)f(x)g(x)=0A.当g(x)有界,必有lim(x->0)f(x)g(x)=0B.当g(x)为任意函数时,都有lim(x->0)f(x)g(x)=0C.仅当g(x)在0点的极限存在时,才有lim(x->0)f(x)g(x)=0D.仅当g(x)为常数时,才有l 已知lim f(x)g(x)=A,如果知道lim f(x)等于无穷大,lim g(x)是什么已知lim f(x)g(x)=A,如果知道lim f(x)等于无穷大,是不是lim g(x)一定为0 证明:若lim(x->+无穷)f(x)=0,且g(x)在(a,+无穷)有界,则lim(x->+无穷)f(x)g(x)=0 两个函数相加的极限存在,若其中一个函数的极限存在,则另一个的函数极限也存在?lim[f(x)+g(x)]=Alimf(x)=a那么limg(x)=A-a吗? 证明lim[f(x)^g(x)]=[limf(x)]^lim[g(x)]^是表示多少次方 lim表示极限 请教一道极限题 若lim g(x)=无穷大 lim f(x)=1 求lim g(x)*[f(x)-1] 等于多少?请教一道极限题 若lim g(x)=无穷大 lim f(x)=1 求lim g(x)*[f(x)-1] 等于多少? (都是在x趋向于x0时) 求高手讲讲 这题怎么做来