For What Values of X Does the Series Converge Absolutely $$\sum _ { n = 1 } ^ { \infty } \frac { x ^ { n } } { \sqrt { n ^ { 2 } + 2 } }$$

question 344

Multiple Choice

For what values of x does the series converge absolutely?
- $$\sum _ { n = 1 } ^ { \infty } \frac { x ^ { n } } { \sqrt { n ^ { 2 } + 2 } }$$

• A) \(- \frac { 1 } { \sqrt { 2 } } < x < \frac { 1 } { \sqrt { 2 } }\)
• B) \(- 2 < x < 2\)
• C) \(- \frac { 1 } { 2 } < x < \frac { 1 } { 2 }\)
• D) \(- 1 < x < 1\)

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