$\lim_{x \rightarrow \infty } (\frac{1+x}{x})^{2x}$
lim_(x arrow infty ) (2x^3-x+1)$ \lim_{x \rightarrow \infty } (2x^3-x+1) $
若 lim_(x to 0) (f(2x))/(x) = 2，则 lim_(x to infty) xf((1)/(2x)) = ( )A. $\frac{1}
lim_(x arrow infty ) xsin (1)/(x) =_____。$ \lim_{x \rightarrow \infty } x\sin \f
(4) lim _(xarrow infty )((dfrac {1+x)(x))}^2x;
(4) lim _(xarrow infty )((dfrac {1+x)(x))}^2x;
②lim_(xto+infty)(1+x)^(1)/(x).③lim_(xtoinfty)(1+(1)/(sqrt(1+x^2)))^x. ④lim_(xto
求极限, lim_(x arrow 0)(ln(1+x))/(x)求极限, $\lim_{x \rightarrow 0}\frac{\ln(1+x)}{x}$
求极限lim_(xto+infty)x(sqrt(1+x^2)-x).2. 求极限$\lim_{x\to+\infty}x(\sqrt{1+x^{2}}-x).
极限 lim_(x arrow 0) ( (2 + e^frac(1)/(x))(1 + e^(2)/(x)) + (sin x)/(|ln(1+x)|) )
(2024.河南) lim_(x to +infty)(1+x)^(4)/(x+1)=（ ）A. 0B. 1C. $e^{4}$D. $e^{-4}$