Real Analysis I need a rigorous proof for the following: If 0<=an<=1 (n>0) and if 0<=x<1 then prove that the Series anxn from n=0 to infinity converges and that its sum is not greater than 1/(1-x) Thank you.
Real Analysis I need a rigorous proof for the following: If 0<=an<=1 (n>0) and if 0<=x<1 then prove that the Series anxn from n=0 to infinity converges and that its sum is not greater than 1/(1-x) Thank you.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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I need a rigorous proof for the following:
If 0<=an<=1 (n>0) and if 0<=x<1 then prove that the Series anxn from n=0 to infinity converges and that its sum is not greater than 1/(1-x)
Thank you.
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