Let f be a function with derivatives of all orders and for which f(2) = 7. When n is odd, the n -thderivative of f at x = 2 is 0. When n is even and n 2 2, the n -th derivative at x = 2 is given byf() (2) = (n-1)!What is the Taylor polynomial for f about x = 2.3nSelect one:Oa.00(x – 2)2n7+(2n) 32nn=1O b.Σ(х — 2)2п7+(п) 32пn=1Oc.7 + Sn!(x – 2)2n(2n) 32nn=1d.(х — 2)2п7 +п! (2п) 3пn=1

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Let f be a function with derivatives of all orders and for which f(2) = 7. When n is odd, the n -t derivative of f at x = 2 is 0. When n is even and n 2 2, the n -th derivative at x = 2 is given by f(n) (2) = (n-1)! What is the Taylor polynomial for f about x = 2. 3n Select one:

Let f be a function with derivatives of all orders and for which f(2) = 7. When n is odd, the n -t derivative of f at x = 2 is 0. When n is even and n 2 2, the n -th derivative at x = 2 is given by f(n) (2) = (n-1)! What is the Taylor polynomial for f about x = 2. 3n Select one:

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

Let f be a function with derivatives of all orders and for which f(2) = 7. When n is odd, the n -th
derivative of f at x = 2 is 0. When n is even and n 2 2, the n -th derivative at x = 2 is given by
f() (2) = (n-1)!
What is the Taylor polynomial for f about x = 2.
3n
Select one:
Oa.
00
(x – 2)2n
7+
(2n) 32n
n=1
O b.
Σ
(х — 2)2п
7+
(п) 32п
n=1
Oc.
7 + Sn!(x – 2)2n
(2n) 32n
n=1
d.
(х — 2)2п
7 +
п! (2п) 3п
n=1

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