Provide an appropriate response.
-If the series $\sum _ { \mathrm { n } = 0 } ^ { \infty } ( - 1 ) ^ { \mathrm { n } } ( \mathrm { x } + 1 ) ^ { \mathrm { n } }$ is integrated twice term by term, for what value(s) of $\mathrm { x }$ does the new series converge?
A) $- 2 \leq x

Question

Provide an appropriate response.
-If the series $\sum _ { \mathrm { n } = 0 } ^ { \infty } ( - 1 ) ^ { \mathrm { n } } ( \mathrm { x } + 1 ) ^ { \mathrm { n } }$ is integrated twice term by term, for what value(s) of $\mathrm { x }$ does the new series converge?
A) $- 2 \leq x < 0$
B) $- 2 \leq x \leq 0$
C) $- 2 < x < 0$
D) $- 2 < x \leq 0$

Quizplus · Accepted Answer

The Answer of Provide an appropriate response.
-If the series $\sum _ { \mathrm { n } = 0 } ^ { \infty } ( - 1 ) ^ { \mathrm { n } } ( \mathrm { x } + 1 ) ^ { \mathrm { n } }$ is integrated twice term by term, for what value(s) of $\mathrm { x }$ does the new series converge?
A) $- 2 \leq x < 0$
B) $- 2 \leq x \leq 0$
C) $- 2 < x < 0$
D) $- 2 < x \leq 0$

Provide an Appropriate Response ∑n=0∞(−1)n(x+1)n\sum _ { \mathrm { n } = 0 } ^ { \infty } ( - 1 ) ^ { \mathrm { n } } ( \mathrm { x } + 1 ) ^ { \mathrm { n } }∑n=0∞​(−1)n(x+1)n

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