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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.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.3: De Moivre’s Theorem And Roots Of Complex Numbers
Problem 4E: Show that the n distinct n th roots of 1 are equally spaced around a circle with center at the...
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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.
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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