# Convergence (1)

Calculus Level 3

$\sum_{n=1}^{\infty}{\dfrac{m^n((500n)!)^2}{(1000n)!}}$ If the series above is to converge, we must have $$|m| < a$$. If $$a$$ is of the form $$s^r$$, where $$s$$ is a prime number, find $$s+r$$.

×