Using the power series for cos x, cos x = Σo Zn=0 (−1)n (2n)! (-∞0,00) 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. a. -x²n

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3.
Using the power series for cos x, cos x =
(−1)n
-x²n
n=0 (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.
Transcribed Image Text:3. Using the power series for cos x, cos x = (−1)n -x²n n=0 (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.
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