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

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

注 类似地，求极限lim_(xto0)(ln(1+x)ln(1-x)-ln(1-x^2))/(x^4).2.“(infty)/(infty)”型极限注 类似地，

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

lim _(xarrow +infty )times 2[ ln (x2+1)-2ln x] = () .

(2) lim _(xarrow 0)[ dfrac (1)(ln (1+{tan )^2x)}-dfrac (1)(ln (1+{x)^2)}]

(2) lim _(xarrow 0)[ dfrac (1)(ln (1+{tan )^2x)}-dfrac (1)(ln (1+{x)^2)}]

160 求极限lim _(xarrow infty )(x)^2[ ln ((x)^2+1)-2ln x] = x]=160求极限

58 求极限：lim_(xto+infty)(x^(1)/(x)-1)^(1)/(ln x).58 (10-3 10分)求极限：$\lim_{x\to+\inf

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

求极限 lim _(xarrow 0)dfrac (ln (1+{x)^2)-ln (1+(sin )^2x)}(x{sin )^3x}