a) Give the Taylor expansion of the function f(x) = "*-r up to third order for the expansion point xo = 0. b) After the third order the Taylor expansion goes on like this: 16 - 25 +.. T(x) ... + 4! What is the formula for the n-th Taylor coefficient? c) Use the formula you found in b) for calculating the radius of convergence of the Taylor expansion.
a) Give the Taylor expansion of the function f(x) = "*-r up to third order for the expansion point xo = 0. b) After the third order the Taylor expansion goes on like this: 16 - 25 +.. T(x) ... + 4! What is the formula for the n-th Taylor coefficient? c) Use the formula you found in b) for calculating the radius of convergence of the Taylor expansion.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 49E
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