MCQ
Function $f(x) = {\left( {\left\{ x \right\} - \frac{1}{2}} \right)^2}$ is (where $\{.\}$ represents fractional part function)
- Adiscontinuous
- Balways differentiable
- Cnon-periodic
- ✓even

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$\big(\frac{9}{10}\big)^5$
$\frac{9}{10}$
$10^{-5}$
$\big(\frac{1}{2}\big)^2$
$(A)$ $\mathrm{S}_{\mathrm{n}}<\frac{\pi}{3 \sqrt{3}}$ $(B)$ $S_n>\frac{\pi}{3 \sqrt{3}}$
$(C)$ $T_n<\frac{\pi}{3 \sqrt{3}}$ $(D)$ $T_n>\frac{\pi}{3 \sqrt{3}}$