Possible Duplicate:
Testing continuity of the function $f(x) = \lim\limits_{n \to \infty} \frac{x}{(2\sin{x})^{2n}+1} \ \text{for} \ x \in \mathbb{R}$
I cannot figure out, at which points the function is discontinuous, the only thing came to my mind is solving $ 1+(2\sin x)^{2n} = 0$ which has no answer, would be great to know the rule for such functions.
$ f(x)=\lim _{n \to \infty} \frac{x}{1+(2\sin x)^{2n} }$