81.已知 lim _(xarrow a)dfrac (f(x)-A)(x-a)=k, 求 lim _(xarrow a)dfrac ({e)^f(x)-(e)^A}({x)^2-(a)^2}(aneq 0).

已知 lim _(xarrow 0)([ 1+x+dfrac {f(x))(x)] }^dfrac (1{x)}=(e)^3, 则 lim _(xarrow 0

(9)已知 lim _(xarrow a)f(x)=lim _(xarrow a)g(x), 则 lim _(xarrow a)dfrac (f(x))(g(x

求下列极限： (1) lim _(xarrow a)dfrac (x)(x-a)(int )_(a)^xf(t)dt, 其中f(x)连续; (1) li

设 lim _(xarrow 0)((1+x+dfrac {f(x))(x))}^dfrac (1{x)}=(e)^3 ,则 lim _(xarrow 0)((

已知 lim _(xarrow infty )((dfrac {x+2a)(x-a))}^x=8 ,求 a.

[题目]已知 lim _(xarrow 0)dfrac (sin 6x+xf(x))({x)^3}=0, 求 lim _(xarrow 0)dfrac (6+f

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

求极限：（1）lim _(xarrow 0)dfrac ({e)^2x-2(e)^x+1}({x)^2cos x}；（2）lim _(xarrow 0)dfra

极限lim _(xarrow 0)dfrac ({int )_(0)^(x^2)(e)^tdt}(2x)=()A、 lim _(xarrow 0)dfrac (

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