## ngdiana Group Title Determine convergence or divergence of the series? 3 months ago 3 months ago

1. ngdiana Group Title

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

2. satellite73 Group Title

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. ngdiana Group Title

thank you! I will use ratio test