- #1

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## Homework Statement

prove that 1+1/4+1/9+...+1/n^2< or = 2-1/n for every positive integer n

## Homework Equations

## The Attempt at a Solution

proved it was correct for n=1, then replaced the n with k, changed it to k+1 to get:

1/(k+1)^2 < or = 2-1/(k+1)

don't know how to proceed