Let f be a function such that f(0) = 3 and the nth derivative of f at x 0 is given by pl0) = -1)** (n +1)! 2" for integer values of n from 1 to 4. a. Write the third-degree Taylor polynomial for f about x 0 and use it to approximate f(-02). b. Write the fourth-degree Taylor polynomial for g about x= 0 where g(x)= /(x?). c. Let h be the function given by h(x) = | f(1) dt. Write the third-degree Taylor polynomial for h about x= 0.

Let f be a function such that f(0) = 3 and the nth derivative of f at x 0 is given by pl0) = -1)** (n +1)! 2" for integer values of n from 1 to 4. a. Write the third-degree Taylor polynomial for f about x 0 and use it to approximate f(-02). b. Write the fourth-degree Taylor polynomial for g about x= 0 where g(x)= /(x?). c. Let h be the function given by h(x) = | f(1) dt. Write the third-degree Taylor polynomial for h about x= 0.

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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