(c). cos z = cos zo cos(z – zo) – sin zo sin(z – zo). 24.3. Show that 1 (a). Eli+1)(z + 1)', z+1| < 1, 22 j=0 (b). sin z = (-1)*- 3(1 – 9') -22j+1, 4 (2j + 1)! 00 > z| j=0 (c). 1- z = 1+ 2z + 2 8 3 z° + |z| < 1. 3

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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(c). cos z = cos zo cos(z – zo) – sin zo sin(z – zo).
24.3. Show that
1
(a).
Ei+1)(2 + 1)', 1z+1| < 1,
j=0
3(1 – 99)
(b). sin z
2j+1
4 (2j + 1)!
00 > 2|
j=0
ez
= 1+ 2z +
,2
3
8
3
(c).
+.., |z| < 1.
1- z
512
Transcribed Image Text:(c). cos z = cos zo cos(z – zo) – sin zo sin(z – zo). 24.3. Show that 1 (a). Ei+1)(2 + 1)', 1z+1| < 1, j=0 3(1 – 99) (b). sin z 2j+1 4 (2j + 1)! 00 > 2| j=0 ez = 1+ 2z + ,2 3 8 3 (c). +.., |z| < 1. 1- z 512
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