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It is known that 11+12+13+⋯ \frac{ 1}{1} + \frac{1}{2} + \frac{1}{3} + \cdots 11+21+31+⋯ is infinite.
What about
112+122+132+⋯ ? \frac{1}{1^2} + \frac{1}{2^2} + \frac{1}{3^2} + \cdots \ ?121+221+321+⋯ ?
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