Discontinuous?

Geometry Level 4

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

How many values of xx are there from 00 to 9π2\frac{9\pi}{2} (both inclusive) such that f(x)f(x) is discontinuous at those values of xx.

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