1. We have shown that if a sequence is unbounded and increasing, then it diverges to infinity. The same is true if we weaken the hypothesis to be eventually increasing¹. Prove or disprove the converse: If lim(sn) = ∞, then (sn) is unbounded and eventually increasing.
1. We have shown that if a sequence is unbounded and increasing, then it diverges to infinity. The same is true if we weaken the hypothesis to be eventually increasing¹. Prove or disprove the converse: If lim(sn) = ∞, then (sn) is unbounded and eventually increasing.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 64E
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