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

求下列极限:

$(1)\lim _{x\rightarrow 0}\frac {{\int }_{0}^{x}\cos {t}^{2}dt}{x}$;

$\left(2\right)\underset{x\to 0}{\mathrm{lim}}\dfrac{{\left({\int }_{0}^{x}{e}^{{t}^{2}}dt\right)}^{2}}{{\int }_{0}^{x}t{e}^{2{t}^{2}}dt}$.

参考答案与解析:

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