Given that and 1 − 1 + t + t² + t³ ..., valid for |t| < 1, 1+t+1²+1³..., |t|<1, cos(t) 1- 2! + 4! - 94 + valid for all t. 6! Show that COS(√) 13 49 1-x+ 1+ 24 180 and WRITE down the radius of convegence of this series.
Given that and 1 − 1 + t + t² + t³ ..., valid for |t| < 1, 1+t+1²+1³..., |t|<1, cos(t) 1- 2! + 4! - 94 + valid for all t. 6! Show that COS(√) 13 49 1-x+ 1+ 24 180 and WRITE down the radius of convegence of this series.
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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
Transcribed Image Text:Given that
and
1
− 1 + t + t² + t³ ..., valid for |t| < 1,
1+t+1²+1³..., |t|<1,
cos(t) 1-
2!
+
4!
-
94
+
valid for all t.
6!
Show that
COS(√)
13
49
1-x+
1+
24
180
and WRITE down the radius of convegence of this series.
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