# Math Help - Limit comparison/comparison test series

1. ## Limit comparison/comparison test series

Determine whether the series converges.

$\sum^{\infty}_{n=1} \frac{9^n + 9}{8^n}$

Should I do limit comparison test with $\frac{9^n}{8^n}$?

2. $\frac{9^n + 9}{8^n} > \frac{9^n}{8^n} = \left(\frac{9}{8}\right)^n$

3. The terms do not go to zero, hence the series diverges.