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) lim _(xarrow infty )[ x-(x)^2ln (1+dfrac (1)(x))] ;-|||-(3) lim _(xarrow 0)dfrac (1)(x)(dfrac (1)(x)-cot x) .

极限lim _(xarrow infty )(x)^2(2-xsin dfrac (1)(x)-cos dfrac (1)(x))=A.lim _(xarrow

求极限lim _(xarrow infty )((dfrac {x)(1+x))}^2x+3求极限

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

2.求极限lim _(xarrow 0)(dfrac (1)(xsin x)-dfrac (cos x)({x)^2}) ()2.求极限

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

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

3.求下列极限:-|||-(1) lim _(xarrow 2)dfrac ({x)^2-3x-4}({x)^2-4} =-|||-(3) lim _(xarr

3.求下列极限:-|||-(1) lim _(xarrow 2)dfrac ({x)^2-3x-4}({x)^2-4} :-|||-(3) lim _(xarr

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

4.求下列极限:-|||-(1) lim _(xarrow infty )(e)^dfrac (1{x)} :-|||-x→∞-|||-(3) lim _(xa