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For alternating series, |SN −S| ≤ |aN+1). What is the smallest value of N that approximates the series (−1)n+1 (n+77)(n+71) to within an error of at most 10-4? N = S≈ - S = n=1

For alternating series, |SN −S| ≤ |aN+1). What is the smallest value of N that approximates the series (−1)n+1 (n+77)(n+71) to within an error of at most 10-4? N = S≈ - S = n=1

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 alternating series, |SN −S| ≤ |aN+1). What is the smallest value of N that approximates the series (−1)n+1 (n+77)(n+71) to within an error of at most 10-4? N = S≈ ► S = n=1
Transcribed Image Text:For alternating series, |SN −S| ≤ |aN+1). What is the smallest value of N that approximates the series (−1)n+1 (n+77)(n+71) to within an error of at most 10-4? N = S≈ ► S = n=1
How many terms of the series n=1 Answer: (−1)n-1 n² need to be added together in order to find the sum to an error within 0.005? (Enter the small possible integer.)
Transcribed Image Text:How many terms of the series n=1 Answer: (−1)n-1 n² need to be added together in order to find the sum to an error within 0.005? (Enter the small possible integer.)
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