# Determine whether the sequence converges or diverges and find the limit

## Homework Statement

Determine whether the sequence an = 11/n2 = 21/n2 + ... + n1/n2 converges or diverges. If it converges, find the limit.

2. The attempt at a solution

I have no idea what to do with this problem. I don't see why I can't simplify n/n^2 to 1/n. It was suggested to me to factor out 1/n and introduce the variable i (from Riemann Sums), but I don't see how that helps (and I don't see how I would just introduce i anyway).

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Dick
Homework Helper
Factor out the 1/n^2. Can you write an expression for the sum (1+2+...+n)?

I'm not really sure what you mean.

Dick