Problem 2 (a) Find the second degree Taylor polynomial T₂(x) of the function f(x) = eª cos 2x centered at a = 0. (b) Approximate f(0.1). Use the remainder estimate to show that the error in this approximation is less than 0.01. (You can use that eº.1 < 2)
Problem 2 (a) Find the second degree Taylor polynomial T₂(x) of the function f(x) = eª cos 2x centered at a = 0. (b) Approximate f(0.1). Use the remainder estimate to show that the error in this approximation is less than 0.01. (You can use that eº.1 < 2)
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 38CT
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Question
only need part b answer
Transcribed Image Text:Problem 2
(a) Find the second degree Taylor polynomial T₂(x) of the function f(x) = e cos 2x centered at
a = 0.
(b) Approximate f(0.1). Use the remainder estimate to show that the error in this approximation
is less than 0.01. (You can use that eº.1 < 2)
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