Estimating the sum of one more alternating series. For the following alternating se- ries, Σ n=1 an 1 1 1 + 10 100 1 1000 + ... how many terms do you have to go for your approximation (your partial sum) to be within 1e-08 from the convergent value of that series?
Estimating the sum of one more alternating series. For the following alternating se- ries, Σ n=1 an 1 1 1 + 10 100 1 1000 + ... how many terms do you have to go for your approximation (your partial sum) to be within 1e-08 from the convergent value of that series?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4.
Estimating the sum of one more alternating series. For the following alternating se-
ries,
1 1
10
1
100 1000
Σa an = 1- +
n=1
+ ...
how many terms do you have to go for your approximation (your partial sum) to be
within 1e-08 from the convergent value of that series?
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