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

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

41.求极限 lim _(xarrow 0)dfrac ({int )_(0)^xln (t+(e)^t)dt}(1-cos x)

极限lim _(xarrow {0)^+}dfrac ({int )_(0)^(x^4)dt(int )_(0)^xsin dfrac (t)(u)du}(1-

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

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

求下列极限：(1)lim _(xarrow 0)((int )_(0)^xcos (t)^2dt)/(x)；(2)underset(xto 0)(mathrm{

11.求下列极限:-|||-(1) lim _(xarrow 0)dfrac ({int )_(0)^xcos (t)^2dt}(x)

设f`(x)连续, (0)=0, (0)=2, 极限 lim _(xarrow 0)dfrac ({int )_(0)^xln cos (x-t)dt}(sqr

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

(1) lim _(xarrow 0)dfrac ({({int )_(0)^x(e)^(t^2)dt)}^2}({int )_(0)^xt(e)^2(t^2)