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)|) )
lim_(x to +infty) ((1+frac(1)/(x))^x^2)(e^x) $\lim_{x \to +\infty} \frac{\left(1
1 设lim_(xto0)(1+x+(f(x))/(x))^(1)/(x)=e^3,则lim_(xto0)(1+(f(x))/(x))^(1)/(x)=____
若 lim_(x to 0) (f(2x))/(x) = 2,则 lim_(x to infty) xf((1)/(2x)) = ( )A. $\frac{1}
lim_(x to 0) (2^x-1)/(x)= ( )A. ln2B. 2C. 1D. 0
【例2】lim_(xto0)((1+x)^frac(1)/(x)-e)(x)=_.【例2】$\lim_{x\to0}\frac{\left(1+x\right)
设lim_(x to 0) (sin 2x + xf(x))/(x^3) = 1,则lim_(x to 0) (2cos x + f(x))/(x^2) = (
②lim_(xto+infty)(1+x)^(1)/(x).③lim_(xtoinfty)(1+(1)/(sqrt(1+x^2)))^x. ④lim_(xto
已知函数 f(x) = (1+x)/(sin x) - (1)/(x),记 a = lim_(x to 0) f(x)。(1) 求 a 的值;(2) 若当 x