Find the Values of X for Which the Geometric Series $$\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } ( 2 x ) ^ { 2 n }$$

question 220

Multiple Choice

Find the values of x for which the geometric series converges.
- $$\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } ( 2 x ) ^ { 2 n }$$

• A) \(| x | < 4\)
• B) \(| x | < 1\)
• C) \(| x | < 2\)
• D) \(| x | < \frac { 1 } { 2 }\)

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