Plz solve correctly (a) Let f(x) = 2 sin x. Write down the Taylor polynomial approximation of degree 2, p2(x), for thefunction f(x) about the point x0 = 0. Make sure to include the remainder term.(b) How large should n be chosen to have|f(x) - Pn(x)|≤ 10-3 on 0 ≤ x ≤ π/2?

The objective of the question is to find the Taylor polynomial approximation of degree 2 for the…

Answered: (a) Let f(x) = 2 sin x. Write down the…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.3: Change Of Basis

Problem 17EQ

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(a) Let f(x) = 2 sin x. Write down the Taylor polynomial approximation of degree 2, p2(x), for the function f(x) about the point x0 = 0. Make sure to include the remainder term. (b) How large should n be chosen to have |f(x) - Pn(x)|≤ 10-3 on 0 ≤ x ≤ π/2?