Hello, I want to check convergence for the following series: ∑2^(1/n)-1 so that's the n'th root of two minus one, for n going to positive infinity Now all possible formulas i know come out inconclusive, so the only formula i can think of is the integer formula, now i thought to make things easier to just integrate 2^(1/n) and if this series proves to be convergent then that proves the convergency (as it is always "1" larger than the other one). Now as i am seem to be a complete idiot i cannot even find the integer for this one. Can someone help me? Sorry if my English is not so good. Thank you in advance, Egwin.