Hi there. Well, I was trying to determine the radius and interval of convergence for this power series:

$\displaystyle \displaystyle\sum_{0}^{\infty} \displaystyle\frac{x^n}{n-2}$

So this is what I did till now:

$\displaystyle \displaystyle\lim_{n \to{+}\infty}{\left |{\displaystyle\frac{n-1}{n-2}}\right |}=1$

Then $\displaystyle \left |{x}\right |<1$

The thing is this result is clearly wrong, I think the series diverges for any x, there is a discontinuity at n=2 for the sum. But I don't know what I'm doing wrong.

Bye there, thanks for your help!