Question

(a) If \sum_{n=1}^{\infty} a_n converges, then so is \sum_{n=1}^{\infty} (-1)^n a_n. (b) If $a_n < 0$ and \sum_{n=1}^{\infty} a_n converges, then so is \sum_{n=1}^{\infty} (-1)^n a_n.

          (a) If \sum_{n=1}^{\infty} a_n converges, then so is \sum_{n=1}^{\infty} (-1)^n a_n.
(b) If $a_n < 0$ and \sum_{n=1}^{\infty} a_n converges, then so is \sum_{n=1}^{\infty} (-1)^n a_n.

(a) If ∑n=1^∞ an converges, then so is ∑n=1^∞ (-1)^n an.
(b) If an < 0 and ∑n=1^∞ an converges, then so is ∑n=1^∞ (-1)^n an.

Added by Sean M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert David Nguyen

09/10/2021

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Determine whether the following statements are True or False. If it is true give a proof; if it is false give a counter-example. ; 8 8 (a) If an converges, then so is n=1 n=1 8 8 (b) If an < 0 and an converges, then so is n=1 n=1