6.5 Show that for all x. sin x = m = 0 (-1)m x ²m+1 (2m + 1)! and COS X = m = 0 2m (-1)"x2" (2m)!

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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6.5 Show that
for all x.
sin x =
171 = 0
(-1)m x ²m+1
(2m + 1)!
and
COS X-
00
m=0
2m
(-1)"x2"
(2m)!
Transcribed Image Text:6.5 Show that for all x. sin x = 171 = 0 (-1)m x ²m+1 (2m + 1)! and COS X- 00 m=0 2m (-1)"x2" (2m)!
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