Prove the following variant of the Alternating Series Test: If {bn} is a positive
Chapter 10, Problem 38(choose chapter or problem)
Prove the following variant of the Alternating Series Test: If {bn} is a positive, decreasing sequence with lim n bn = 0, then the series b1 + b2 2b3 + a4 + b5 2a6 + converges. Hint: Show that S3N is increasing and bounded by a1 + a2, and continue as in the proof of the Alternating Series Test.
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