lim(x)lim(x→∞)[(x-1)/(x+1)]^2x
lim(x->∞)[(x-1)/(x+1)]^2x=lim(x->∞)[1+(-2)/(x+1)]^[(x+1)/(-2)]*{[(-2)/(x+1)]*2x}=lim(x->∞){[1+(-2)/(x+1)]^[(x+1)/(-2)]}^{[(-2)/(x+1)]*2x}∵lim(x->∞){[1+(-2)/(x+1)]^[(x+1)/(-2)]}=e...
举一反三
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- 【单选题】若 f ( x ) = ( x − 1 ) x 2 − 1 2 , g ( x ) = x − 1 x + 1 ,则? A. f ( x ) = g ( x ) "> f ( x ) = g ( x ) B. lim x → 1 f ( x ) = g ( x ) "> lim x → 1 f ( x ) = g ( x ) C. lim x → 1 f ( x ) = lim x → 1 g ( x ) "> lim x → 1 f ( x ) = lim x → 1 g ( x ) D. 以上等式均不成立
内容
- 0
lim(x趋向于0)(1/x-1/e的2x次方-1)
- 1
lim→0（x^2sin（1/x））/(e^x-1)
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求下列函数的极限求下列函数的极限lim(x→∞){1+e^(-x)};lim(x→1){|x-1|/(x-1)}
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若函数f（x）=x3+1x，则lim△x→0f(△x-1)+f(1)2△x=______．
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设f(x)是多项式,且lim(x→∞)[f(x)-x^3]/x^2=2,且lim(x→0)f(x)/x=1,求f(x)