Approximations with Taylor polynomialsa. Use the given Taylor polynomial p2 to approximate the given quantity.b. Compute the absolute error in the approximation, assuming theexact value is given by a calculator. Approximate e-0.15 using ƒ(x) = e-x and p2(x) = 1 - x + x2/2.

Approximations with Taylor polynomialsa. Use the given Taylor polynomial p2 to approximate the given quantity.b. Compute the absolute error in the approximation, assuming theexact value is given by a calculator. Approximate e-0.15 using ƒ(x) = e-x and p2(x) = 1 - x + x2/2.

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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Question

Approximations with Taylor polynomials
a. Use the given Taylor polynomial p₂ to approximate the given quantity.
b. Compute the absolute error in the approximation, assuming the
exact value is given by a calculator.

Approximate e^-0.15 using ƒ(x) = e^-x and p₂(x) = 1 - x + x²/2.

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