Taylor Expansion In class we used several results from Taylor expansion. (a) Prove In(1 -e) - n n-1 (b) Prove e= cos 0 i sin 0. Hint: Expand e, cos 0 and sin 0 using Taylor expansions and then compare the two sides of the identity

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 56E
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Taylor Expansion In class we used several results from Taylor expansion.
(a) Prove
In(1 -e) -
n
n-1
(b) Prove
e= cos 0 i sin 0.
Hint: Expand e, cos 0 and sin 0 using Taylor expansions and then compare the two
sides of the identity
Transcribed Image Text:Taylor Expansion In class we used several results from Taylor expansion. (a) Prove In(1 -e) - n n-1 (b) Prove e= cos 0 i sin 0. Hint: Expand e, cos 0 and sin 0 using Taylor expansions and then compare the two sides of the identity
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