Find the Sum of the Geometric Series for Those X $$\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } ( 3 x ) ^ { 2 n }$$

question 433

Multiple Choice

Find the sum of the geometric series for those x for which the series converges.
- $$\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } ( 3 x ) ^ { 2 n }$$

• A) \(\frac { 3 } { 1 + 9 x ^ { 2 } }\)
• B) \(\frac { 1 } { 1 - 9 x ^ { 2 } }\)
• C) \(\frac { 1 } { 1 + 9 x ^ { 2 } }\)
• D) \(\frac { 9 } { 1 + 9 x ^ { 2 } }\)

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A learning method characterized by repeatedly associating two stimuli; over time, the response once elicited by the second stimulus is induced by the first stimulus solely.