Reciprocal Sums

Calculus Level 1

It is known that \( \frac{ 1}{1} + \frac{1}{2} + \frac{1}{3} + \cdots \) is infinite.

What about

\[ \frac{1}{1^2} + \frac{1}{2^2} + \frac{1}{3^2} + \cdots \ ?\]

Hint:

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