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(m (2) = (n-1)! What is the Taylor polynomial for f about x = 2. 3n Select one: O a. (x-2)2n | 7+ (2n) 32n n=1 b. (x- 2)2n 7+ (n) 32n n=1 c. (x – 2)2n 7+ n! (2n) 3" n=1 O d. 7 + n! (х - 2)2п | (2n) 32n n=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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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-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.
Select one:
O a.
(х - 2)2п
7+ 5
2 (2n) 32n
|
n=1
O b.
00
(x-2)2n
7+
(п) 32п
n=1
c.
00
2n
7+
n! (2n) 3"
n=1
00
n! (x - 2)2n
(2n) 32n
d.
7+
n=1
Transcribed Image Text: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. Select one: O a. (х - 2)2п 7+ 5 2 (2n) 32n | n=1 O b. 00 (x-2)2n 7+ (п) 32п n=1 c. 00 2n 7+ n! (2n) 3" n=1 00 n! (x - 2)2n (2n) 32n d. 7+ n=1
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