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Possible Duplicate:
How can I prove $\lim_{n \to \infty} \int_{0}^{\pi/2} f(x) \sin ((2n+1) x) dx =0 $?

I have trouble evaluating the following limit? $ \lim_{n\to\infty}\int_{0}^{2\pi}\sin(nx)f(x)dx $ for any square integrable function $f(x)$.

I would very much appreciate your help.

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    This follows from the [Riemann–Lebesgue](http://en.wikipedia.org/wiki/Riemann–Lebesgue_lemma) lemma.2012-12-15

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