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

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

(2)若 lim _(xarrow infty )((1+dfrac {k)(x))}^-3x=(e)^-1 ,则 k= __

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

(10)求lim_(xtoinfty)x^2[e^(1+(1)/(x))^(x)-(1+(1)/(x))^ex].(10)求$\lim_{x\to\infty}

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

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

【2020-9】设lim_(xtoinfty)(1-(1)/(x))^x=lim_(xto0)(sqrt(1+kx)-1)/(x)，则常数k=____.【202

6.填空题若lim_(xto2)(x^2-3x+k)/(x-2)=1，则k=____.6.填空题若$\lim_{x\to2}\frac{x^{2}-3x+k}{

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

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