Question

radius of convergence

Answer 1

\[\sum (-1)^{n} ( \sqrt{ n+1} -\sqrt{ n })x^{n}\]

Answer 2

I wanted a double check for an+1 it would be \[\sqrt{n+2}- \sqrt{n+1}\] ?

Answer 3

with \(|x^{n+1}|\) thrown in, but yes

Answer 4

ok that's all I needed to make sure of