Find the Taylor series representation with center 4 of the function f(x) = x-¹/² using the definition. Use (a) to estimate the value of 1/√5 with error at most 0.00001.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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(a) Find the Taylor series representation with center 4 of the function f (x) = x-¹/2 using the
definition.
(b) Use (a) to estimate the value of 1/√5 with error at most 0.00001.
Transcribed Image Text:(a) Find the Taylor series representation with center 4 of the function f (x) = x-¹/2 using the definition. (b) Use (a) to estimate the value of 1/√5 with error at most 0.00001.
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