- #1
ShizukaSm
- 85
- 0
Homework Statement
Show that the infinite series
[itex]\sum_{n=0}^{\infty} (\sqrt{n^a+1}-\sqrt{n^a})[/itex]
Converges for a>2 and diverges for x =2
The Attempt at a Solution
I'm reviewing series, which I studied a certain time ago and picking some questions at random, I can't solve this one.I tried every test I could think of, they were ALL inconclusive, I believe there's some function I must came up with to use with the comparison test, but I can't figure which one is it.