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) lim _(xarrow a)dfrac (x)(x-a)(int )_(a)^xf(t)dt, 其中f(x)连续;

求极限lim _(xarrow 0)dfrac ({int )_(0)^x(1-cos t)dt}({x)^3}= (ost)dt/=()。求极限。

求下列极限: lim _(xarrow 0)[ dfrac ({int )_(0)^xsqrt (1+{t)^2}dt}(x)+dfrac ({int )_(0

求极限lim _(xarrow 0)dfrac (x)(sqrt {1-x)-1}= ()lim _(xarrow 0)dfrac (x)(sqrt {1-x)

求极限lim _(xarrow 0)cot x(dfrac (1)(x)-dfrac (1)(sin x))-|||-__解法如下，原式lim _(xarrow

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

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

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

求极限 lim _(xarrow 1)(dfrac (x)(x-1)-dfrac (1)(ln x)) .

1.求下列极限:-|||-(1) lim _(xarrow 0)dfrac (sin 2x)(x);-|||-(3) lim _(xarrow dfrac {p

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