I've been working through a few of these and was hoping to get some help on this problem. I'm thinking the interval of convergence is just 1, since the numerator grows far faster for values greater, but it seems like a much solution involving one of the comparison/convergence tests is required.
Find all values of $x$ for which the series converges $$\sum_{n=1}^{\infty}\dfrac{x^n}{ln(n+1)}$$