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Given the power series expansion 2n+1 tan ¹(x)=(-1)", 2n + 1 n=1 determine how many terms N of the sum evaluated at x = 1 are needed to approximate tan¹(1): accurate to within π 1 1000 N =

Given the power series expansion 2n+1 tan ¹(x)=(-1)", 2n + 1 n=1 determine how many terms N of the sum evaluated at x = 1 are needed to approximate tan¹(1): accurate to within π 1 1000 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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I need some help evalating a power series. Image Included, Thanks!

Given the power series expansion x2 2n+1 Σ(-1)". 2n + 1 n=1 tan ¹(x) = = determine how many terms N of the sum evaluated at x = 1 are needed to ㅠ accurate to within 4 1000 approximate tan¹(1) = = N=
Transcribed Image Text:Given the power series expansion x2 2n+1 Σ(-1)". 2n + 1 n=1 tan ¹(x) = = determine how many terms N of the sum evaluated at x = 1 are needed to ㅠ accurate to within 4 1000 approximate tan¹(1) = = N=
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