c) Determine a pattern for the value of the even, (2k)", derivative of f(x) at x 37T th d) Determine a pattern for the value of the odd, (2k + 1), derivative of f(x) at x = 37. 2 e) What is the Taylor series of f(x) centered at x = k as the index in your sum. For example, sum(k, 0, infinity, x^k) is evaluated as , a.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 67E
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c) Determine a pattern for the value of the even, (2k), derivative of f(x) at x
2
37T
d) Determine a pattern for the value of the odd, (2k + 1), derivative of f(x) at a =
3T.
e) What is the Taylor series of f(x) centered at æ
? Use k as the index in your
sum.
For example, sum(k, 0, infinity, x^k) is evaluated as ,.
f) What is the radius of convergence for the series?
Transcribed Image Text:c) Determine a pattern for the value of the even, (2k), derivative of f(x) at x 2 37T d) Determine a pattern for the value of the odd, (2k + 1), derivative of f(x) at a = 3T. e) What is the Taylor series of f(x) centered at æ ? Use k as the index in your sum. For example, sum(k, 0, infinity, x^k) is evaluated as ,. f) What is the radius of convergence for the series?
Find the Taylor series centered at x
for the given function.
f (x) = cos(4x)
Transcribed Image Text:Find the Taylor series centered at x for the given function. f (x) = cos(4x)
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