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## Homework Statement

Prove this by induction

n

∑(1/√n) > 2(√(n+1) -1)

i=1

## The Attempt at a Solution

I have tried for several hours, with no real progress. When i assume that it works for n=k, and then try to prove for n=k+1 i get 2(√(k+2)-1)... i don't know how to partition this expression... can someone point me in the right direction....