1. The problem statement, all variables and given/known data Find the radius and interval of convergence for the two series: 1) [(n+1)/n]^n * (x^n), series starting at n=1. 2) ln(n)(x^n), series starting at n=1. 2. Relevant equations You're usually supposed to root or ratio your way through these. 3. The attempt at a solution 1) First, combining the whole thing and putting to the nth power: [( (n+1) x) / n] ^ n then using the root test yields ((n+1)/n) * x but (n+1)/n doesn't converge. The book still gives R = 1 and I = -1 < x < 1, though... how? 2) Uhhh not too sure... I just ratio tested it and got: (ln(n+1) / ln(n)) * x and the ln(n+1) / ln(n) doesn't converge. What do? Thanks.