Mathematics

Mathematics

Problem

If lim⁡n→∞an≠0\displaystyle\lim_{n\to\infty} a_n \neq 0, what conclusion can be drawn about the series ∑n=1∞an\sum_{n=1}^{\infty} a_n? a) It converges if the terms alternate in sign. b) It must diverge. c) It diverges only if lim⁡n→∞an=∞\displaystyle\lim_{n\to\infty} a_n = \infty. d) It may converge or diverge; the test is inconclusive.

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