Provide an Appropriate Response $\sum _ { \mathrm { n } = 0 } ^ { \infty } ( - 1 ) ^ { \mathrm { n } } ( \mathrm { x } - 5 ) ^ { \mathrm { n } }$

question 107

Multiple Choice

Provide an appropriate response.
-If the series $\sum _ { \mathrm { n } = 0 } ^ { \infty } ( - 1 ) ^ { \mathrm { n } } ( \mathrm { x } - 5 ) ^ { \mathrm { n } }$ is integrated term by term, for what value(s) of $\mathrm { x }$ does the new series converge?

• A) \(4 \leq x < 6\)
• B) \(4 < x \leq 6\)
• C) \(4 < x < 6\)
• D) \(4 \leq x \leq 6\)

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