Question

Determine convergence or divergence of the series?

Answer 1

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

Answer 2

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

Answer 3

thank you! I will use ratio test