$\lim_{x \to +\infty} \frac{\left(1+\frac{1}{x}\right)^{x^2}}{e^x}$
11.已知lim_(x to 0) (ln(1+frac(f(x))/(x)))(2^x-1)=3,则lim_(x to 0) (f(x))/(sqrt(1+x
lim_(x to 0) ((1+x)^frac(2)/(x) - e^2)(x) $\lim_{x \to 0} \frac{(1+x)^{\frac{2}{
极限 lim_(x arrow 0) ( (2 + e^frac(1)/(x))(1 + e^(2)/(x)) + (sin x)/(|ln(1+x)|) )
【例2】lim_(xto0)((1+x)^frac(1)/(x)-e)(x)=_.【例2】$\lim_{x\to0}\frac{\left(1+x\right)
lim_(x to infty) x sin (1)/(x) =()单选题(共40题,100.0分) 14. (2.5分) $\lim_{x \to \inft
lim_(x to infty) (sin x)/(x) = 1A. 对B. 错
lim_(x arrow infty ) ((1+x)/(x))^2x$\lim_{x \rightarrow \infty } (\frac{1+x}{x})
若 lim_(x to 0) (f(2x))/(x) = 2,则 lim_(x to infty) xf((1)/(2x)) = ( )A. $\frac{1}
9.3 极限lim_(xto+infty)(int_(e)^x(1-frac(1)/(t))^tcdot e^tdt)(e^e^{x)}=____.9.3 极限
②lim_(xto+infty)(1+x)^(1)/(x).③lim_(xtoinfty)(1+(1)/(sqrt(1+x^2)))^x. ④lim_(xto