1. The problem statement, all variables and given/known data ∞ ∑ = ((n-2)2)/n2 n=1 2. Relevant equations The ratio test/interval of convergence 3. The attempt at a solution **NOTE this is a bonus homework and I've only had internet tutorials regarding the ratio test/interval of convergence so bear with me) lim ((n-1)n+1)/(n+1)n+1 * (nn)/(n-2)n n→∞ That's all I've got. I know with the ratio test you're supposed to simplify this but I'm not sure how. If anyone could walk me through this, that'd be super helpful Edit: I was also made aware that the root test exists... Can I use that instead? n√((n-2)n/nn →n-2/n →n/n -2/n →lim as n→∞ 1-2/n = 1 If that is correct, what does that 1 mean? Can I use that to find the interval of convergence?