2.求极限 lim _(xarrow infty )[ (2+x)(e)^dfrac (1{x)}-x]

2.求极限 lim _(xarrow +infty )arcsin dfrac (x)(sqrt {{x)^2+1}+x}

求下列极限lim _(xarrow infty )dfrac ({(1+dfrac {1)(x))}^(x^2)}({e)^x}求下列极限

3.求下列函数的极限.-|||-(1) lim _(xarrow infty )x((e)^dfrac (1{x)}-1);-|||-(2) lim _(xar

2.按例4的方法求下列极限:-|||-(1) lim _(xarrow 0)dfrac ({e)^xsin x-x(1+x)}({x)^3} ;-|||-(2)

求极限lim _(xarrow infty )dfrac (1+2{e)^x}(1-3{e)^2x}-|||-__-|||-lim _(xarrow {0)^+

)求下列极限:-|||-(1) lim _(xarrow 1)dfrac ({x)^2-x+1}({(x-1))^2} =-|||-(3) lim _(xarr

【题目】-|||-求下列极限:-|||-lim _(xarrow +infty )arcsin (sqrt ({x)^2+x}-x) ;

求lim _(xarrow +infty )(sqrt ({x)^2+x}-x)求

[题目]求极限 lim _(xarrow infty )((sin dfrac {2)(x)+cos dfrac (1)(x))}^x= __

求极限：lim _(xarrow infty )((dfrac {{x)^2+2}({x)^2+2x+1})}^x求极限：