3.Using the power series for cos x, cos x =(−1)n-x²nn=0 (2n)!(-∞0,00)a. Find the approximate value of cos (0.1) using 3 terms of the power series expansion. Expressyour answer in 4 decimal places.b. What is the power series of cos(-x²)? Simplify your answer.

The power series for cos x, cos x=∑n=0∞-1n2n!x2n , x∈-∞,∞. We have to find, a) The approximate value…

Answered: 00 Using the power series for cos x,…

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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00 Using the power series for cos x, cos x = En-o (-1) x2n (2n)! (-∞0,00) a. Find the approximate value of cos (0.1) using 3 terms of the power series expansion. Express your answer in 4 decimal places. b. What is the power series of cos(-x²)? Simplify your answer.