## anonymous 2 years ago Determine convergence or divergence of the series?

1. anonymous

$\sum_{n=0}^{\infty} (n^3+3)/9^n$

2. anonymous

ratio test probably best for this one although it should be clear that it converges because $$9^n$$ grows way way way faster than $$n^3$$

3. anonymous

thank you! I will use ratio test