(10)求lim_(xtoinfty)x^2[e^(1+(1)/(x))^(x)-(1+(1)/(x))^ex].

求极限：lim_(xtoinfty)x^2[e^(1+(1)/(x))^(x)-(1+(1)/(x))^ex]求极限：$\lim_{x\to\infty}x^{

(11)求lim_(xtoinfty)x^2[e^(1+(1)/(x))^(x)-(1+(1)/(x))^e^(x)].(11)求$\lim_{x\to\inf

lim_(xtoinfty)(1+(1)/(x))^x=e。A. 对B. 错

②lim_(xto+infty)(1+x)^(1)/(x).③lim_(xtoinfty)(1+(1)/(sqrt(1+x^2)))^x. ④lim_(xto

42.求极限lim_(xtoinfty)[x-x^2ln(1+(1)/(x))].42.求极限$\lim_{x\to\infty}\left[x-x^{2}\l

43【中等】(真题)若lim_(xtoinfty)(1+(k)/(x))^-3x=e^-1，则k=____.43【中等】(真题)若$\lim_{x\to\inf

1.14 已知lim_(xto0)[a(2+e^frac(1)/(x))(1+e^(4)/(x))+(1+|x|)^(1)/(x)]存在，求a的值.1.14 已

15 lim_(x to +infty) ln(1+2^x) ln(1+(2)/(x))=____.15 $\lim_{x \to +\infty} \ln(1

1 设lim_(xto0)(1+x+(f(x))/(x))^(1)/(x)=e^3,则lim_(xto0)(1+(f(x))/(x))^(1)/(x)=____

求极限lim _(xarrow +infty )x(sqrt (1+{x)^2}-x)。求极限。