Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Let (an) be an increasing sequence of real numbers bounded from above and (bn)
be a decreasing sequence.
Prove that if in addition bn ≥ 1 for all n E N then the sequence (anb¹) is
convergent.
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Transcribed Image Text:Let (an) be an increasing sequence of real numbers bounded from above and (bn) be a decreasing sequence. Prove that if in addition bn ≥ 1 for all n E N then the sequence (anb¹) is convergent.
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