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## Homework Statement

sum of i from i = 1 to n 1/i^2 <= 2

## The Attempt at a Solution

I have a solution, that for any n the sum from i to n of 1/i^2 < sum 1/i(i-1) = 1/(i-1) - 1/i .. et c but this is not inductive.. can I get any hints? thank you