Find the Values of X for Which the Geometric Series $$\sum _ { n = 0 } ^ { \infty } ( x + 9 ) ^ { n }$$

Multiple Choice

Find the values of x for which the geometric series converges.
- $$\sum _ { n = 0 } ^ { \infty } ( x + 9 ) ^ { n }$$

A) $- 10 < x < - 8$
B) $- 10 < x < - 9$
C) $- 9 < \mathrm { x } < 9$
D) $- 9 < \mathrm { x } < - 8$