18. Find the Taylor series centered at x = a for the following functions: a) f(x) = 1 (1-x)² ; a = 0 (Hint: Consider that 1 (1-x)² = d 1 dx 1-x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
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18. Find the Taylor series centered at x = a for the following functions:

18. Find the Taylor series centered at x = a for the following functions:
a) f(x) =
1
(1-x)²
; a = 0
1
(1-x)² dx 1-x
(Hint: Consider that -
=
Transcribed Image Text:18. Find the Taylor series centered at x = a for the following functions: a) f(x) = 1 (1-x)² ; a = 0 1 (1-x)² dx 1-x (Hint: Consider that - =
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