MCQ
$\mathop {\lim }\limits_{x \to 0} $ $\frac{{\int\limits_0^x ( {\text{ta}}{{\text{n}}^{ - 1}}{\text{ t }}{{\text{)}}^2}{\text{dt}}}}{{({\text{sinx - x}})}}$ is-
- A$0$
- ✓$-2$
- C$2$
- D$\frac{1}{2}$
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$T=f(0)-f\left(\frac{\pi}{5}\right)+f\left(\frac{2 \pi}{5}\right)-f\left(\frac{3 \pi}{5}\right)+\ldots+f\left(\frac{8 \pi}{5}\right)-f\left(\frac{9 \pi}{5}\right) \text {. }$Then, $T$