Find the Values Of $x$ For Which the Series $\sum _ { n = 0 } ^ { \infty } 5 \left( \frac { x } { 4 } \right) ^ { n }$

question 147

Multiple Choice

Find the values of $x$ for which the series $\sum _ { n = 0 } ^ { \infty } 5 \left( \frac { x } { 4 } \right) ^ { n }$ converges.

• A) \(- 5 < x < 0\)
• B) \(0 < x < 5\)
• C) \(- 4 < x < 4\)
• D) \(- 5 < x < 5\)
• E) \(0 < x < 4\)