Question

i tried a lot of things but i couldnt figure out..Does this series converge ?

Σ(n=2to∞) [1/(n-1)(n+1)^1/2+(n+1)(n-1)^1/2 ]

Answer 1

i wrote the question again for you to see clearly
\[\sum_{2}^{\infty} 1/ [(n-1)\sqrt{n+1}+(n+1)\sqrt{n-1}]\]