1. The problem statement, all variables and given/known data ∞ n=3 ∑ ((-1)n (x+3)3n)/(2nlnn) Find radius of convergence, interval of convergence, values for x which series is: absolutely convergent, conditionally converge or divergence. 2. Relevant equations 3. The attempt at a solution I applied the Ratio Test and got |(x+3)3| lim n--> ∞ (-1(lnn))/(ln(n+1)) Then I used l'Hospitals to get the limit and got -1/2. So then it's -1/2 * |(x+3)3| = L. Then do the radius and interval stuff. The problem is that it's -1/2 and the radius can't be negative. I've had one or two similar problems where I keep getting a negative radius. Not sure what I am missing.