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Find the sum to infinity of the series 1...

Find the sum to infinity of the series `1^2+2^2+3^2+4^2+oodot`

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To find the sum to infinity of the series \(1^2 + 2^2 + 3^2 + 4^2 + \ldots\), we can use the concept of power series and manipulation of series. ### Step-by-Step Solution: 1. **Define the Series**: We are looking for the sum of the series: \[ S = 1^2 + 2^2 + 3^2 + 4^2 + \ldots ...
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