Solved: You are told that the terms of a positive series appear to approach zero rapidly

Chapter 9, Problem 95

(choose chapter or problem)

You are told that the terms of a positive series appear to approach zero rapidly as n approaches infinity. In fact \(a_7\ \le\ 0.0001\). Given no other information, does this imply that the series converges? Support your conclusion with examples.

Text Transcription:

a_7 leq 0.0001

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