Solve limit (as x approaches 0 ^ +) of frac{sqrt{x}(1-cost^2)dt}{x^frac{5{2}}}

$$\lim _ { x \rightarrow 0 ^ { + } } \frac { \sqrt { x } ( 1 - \cos t ^ { 2 } ) d t } { x ^ { \frac { 5 } { 2 } } }$$

Evaluate

$$\left\{\begin{matrix}0,&d=0\text{ or }\exists n_{2}\in \mathrm{Z}\text{ : }t=-\sqrt{2\pi n_{2}}\text{ or }\exists n_{2}\in \mathrm{Z}\text{ : }t=\sqrt{2\pi n_{2}}\\\infty,&\left(\exists n_{1}\in \mathrm{Z}\text{ : }\left(t>\sqrt{2\pi n_{1}-2\pi }\text{ and }t<\sqrt{2\pi n_{1}}\right)\text{ and }d>0\right)\text{ or }\left(\exists n_{1}\in \mathrm{Z}\text{ : }\left(t>-\sqrt{2\pi n_{1}}\text{ and }t<-\sqrt{2\pi n_{1}-2\pi }\right)\text{ and }d<0\right)\\-\infty,&\left(\exists n_{1}\in \mathrm{Z}\text{ : }\left(t>\sqrt{2\pi n_{1}-2\pi }\text{ and }t<\sqrt{2\pi n_{1}}\right)\text{ and }d<0\right)\text{ or }\left(\exists n_{1}\in \mathrm{Z}\text{ : }\left(t>-\sqrt{2\pi n_{1}}\text{ and }t<-\sqrt{2\pi n_{1}-2\pi }\right)\text{ and }d>0\right)\end{matrix}\right.$$

Differentiate w.r.t. t

$$\text{Indeterminate}$$