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Different methods to compute $\sum\limits_{n=1}^\infty \frac{1}{n^2}$

What is the simplest way to show $\sum_{n=1}^{\infty}\frac{1}{n^2}=\frac{\pi^2}{6}$ using only power series but not Fourier series?

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    Thanks. I didn't know how to search for questions with math formulas.2012-05-25

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