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

question 255

Multiple Choice

Provide an appropriate response.
-For an alternating series $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n + 1 } u _ { n }$ where $\lim _ { n \rightarrow u _ { n } } \neq 0$ , what can be said about the convergence or divergence of the series?

• A) The series may or may not converge.
• B) The series always converges.
• C) The series always diverges.

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