1. The problem statement, all variables and given/known data Given a McLauren series: (2x)^n+1 / (n+1) (a). Find interval of convergence. 2. Relevant equations Limit test 3. The attempt at a solution So I used ratio test and found that -1/2 <x<1/2. I am testing the end point. At x=1/2, the series will be 1/(n+1) and at x=-1/2, series is (-1)^n+1 / (n+1). How do I prove whether or not they are divergent or convergent. Does 1/ (n+1) converge to 0 ? How about when x=-1/2, is it convergent or divergent ?