a1a2+. ап 4. Let (an) be an increasing sequence of of positive real numbers and define b (a) Prove that (bn) is also increasing. = n (b) Suppose that (an) is a convergent sequence. Prove that (bn) also converges.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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a) Prove that (bn) is also increasing.
(b) Suppose that (an) is a convergent sequence. Prove that bn also converges

 

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a1a2+.
ап
4. Let (an) be an increasing sequence of of positive real numbers and define b
(a) Prove that (bn) is also increasing.
=
n
(b) Suppose that (an) is a convergent sequence. Prove that (bn) also converges.
Transcribed Image Text:a1a2+. ап 4. Let (an) be an increasing sequence of of positive real numbers and define b (a) Prove that (bn) is also increasing. = n (b) Suppose that (an) is a convergent sequence. Prove that (bn) also converges.
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