# Discontinuous?

Geometry Level 4

$\large {f(x)= \displaystyle \lim_{n \to \infty} \dfrac{x}{(2\sin x)^{2n}+1}}$

How many values of $$x$$ are there from $$0$$ to $$\frac{9\pi}{2}$$ both inclusive such that $$f(x)$$ is discontinuous at those values of $$x$$.

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