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Q. If $f(x) = \sin \bigg( \frac{\pi}{3} [x] - x^2 \bigg)$ then the value of $f \Bigg( \sqrt{ \frac{\pi}{3}} \Bigg)$ is

Relations and Functions - Part 2

Solution:

$\left[\sqrt{\pi / 3 }\right] = 1 \Rightarrow f\left(x\right) = \sin\left(\frac{\pi}{3} -x^{2}\right)$