Provide an Appropriate Response $\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } ( x + 6 ) ^ { n }$

question 206

Multiple Choice

Provide an appropriate response.
-If the series $\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } ( x + 6 ) ^ { n }$ is integrated term by term, for what value(s) of $x$ (if any) does the new series converge and for which the given series does not converge?

• A) x = -5
• B) x = -7
• C) none
• D) x = -7, x = -5

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