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For the following series, calculate find the minimum number of terms n that must be added in order to find the sum to the indicated accuracy. Σ n=1 (-1)" 400 nº.8 error <5 n =

For the following series, calculate find the minimum number of terms n that must be added in order to find the sum to the indicated accuracy. Σ n=1 (-1)" 400 nº.8 error <5 n =

Advanced Engineering Mathematics
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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For the following series, calculate find the minimum number of terms n that must be added in order to find the sum to the indicated accuracy. Σ n=1 (-1)" 400 70.8 error <5 n =
Transcribed Image Text:For the following series, calculate find the minimum number of terms n that must be added in order to find the sum to the indicated accuracy. Σ n=1 (-1)" 400 70.8 error <5 n =
Expert Solution
Step 1: Define the error for alternating series

Let ∑n=1∞(−1)nan be an alternating series.

A partial sum of n terms Sn=∑i=1n(−1)iai

The remainder Rn=S−Sn

The error for summing up n terms

|E|=|Rn|≤|an+1|


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