It is known that +00 sin x = Σ (-1)" (2n + 1)! n=0 1. Find the Maclaurin series for x sin(x²). •x²n+1 for all x € R

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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It is known that
+∞0 (-1)"
• Σ \ (2n + 1)! ² x2n+1 for all x € R
x²x+1]
n=0
1. Find the Maclaurin series for x sin(x²).
sin x =
Transcribed Image Text:It is known that +∞0 (-1)" • Σ \ (2n + 1)! ² x2n+1 for all x € R x²x+1] n=0 1. Find the Maclaurin series for x sin(x²). sin x =
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