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

设(x)=dfrac ({x)^2}(x-a)(int )_(a)^xf(t)dt, 其中f(x)设(x)=dfrac ({x)^2}(x-a)(int )_(

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

求极限lim _(xarrow 0)dfrac ({int )_(0)^xcos (t)^2dt}(ln (1+x))求极限

求极限lim _(xarrow 0)dfrac ({int )_(0)^2xln (1+t)dt}(xsin x)求极限

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)) .