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(a) Find the Taylor series expansion of the function f(x)=e" cosx about x = 0

(a) Find the Taylor series expansion of the function f(x)=e" cosx about x = 0

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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(a) Find the Taylor series expansion of the function f(x)= e' cosx about x = 0 (b) Use the series above to calculate the value of f(0.5) with 4 significant digits and the true relative percentage error by employing: (bl) the first two terms; (b2) the first three terms; (b3) the first four terms (
Transcribed Image Text:(a) Find the Taylor series expansion of the function f(x)= e' cosx about x = 0 (b) Use the series above to calculate the value of f(0.5) with 4 significant digits and the true relative percentage error by employing: (bl) the first two terms; (b2) the first three terms; (b3) the first four terms (
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