Find the interval of convergence.
sum_{n=2}^infty frac{(x+3)^n}{(n ln(n))^2}
(Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol ∞ for infinity. Use an appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is open or closed.)
x ∈
Find all values of x such that the following series converges.
sum_{n=1}^infty frac{5x^{n^2}}{n!}
(Give your answer as an interval in the form (*, *). Use the symbol ∞ for infinity, ∪ for combining intervals, and an appropriate type of parenthesis "(", ")", "[", "]" depending on whether the interval is open or closed. Enter ∅ if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)
x ∈ (-∞, ∞)