21 A B C E F H I Find the Taylor series generated by f at a = a. SELECT ALL APPLICABLEC 1 ,a = 3 A) B) f(x) = 6 (х — 3)" (x – 3)n+1 37+1 n-0 37+1 n-0 C) D) (х — 3)m+1 (х — 3)" 3" 3" n-0 n-0
21 A B C E F H I Find the Taylor series generated by f at a = a. SELECT ALL APPLICABLEC 1 ,a = 3 A) B) f(x) = 6 (х — 3)" (x – 3)n+1 37+1 n-0 37+1 n-0 C) D) (х — 3)m+1 (х — 3)" 3" 3" n-0 n-0
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:21
A
D
E
F
G
H
I
Find the Taylor series generated by f at x = a.
SELECT ALL APPLICABLE CHOICES
A)
f(x)
6
B)
,a = 3
(х — 3)"
(х — 3)"+1
3n+1
n=0
n=0
3n+1
D)
(х — 3)"+1
(х — 3)"
37
3"
n=0
n=0
Transcribed Image Text:28
A
B
C
D
E
F
G
I
Find the power series representation for f(x).
SELECT ALL APPLICABLE CHOICES
1- 5x
A) 1 – 5æ + 5æ² – 5x³
B) 1+ 6x – 6x² + 6x³
f(x)
1+ x
С) 1 — 6х + 622
6x3
D) 1+ 5x – 5x² + 5x³
29
A
B
C
D
E
F
G
H
I
Find the Taylor polynomial of order 3 generated
SELECT ALL APPLICABLE CHOICES
by f at a.
A)
B)
f(x) = x?, a = 4
P3(x) = 16 + 8(x – 4) + (x – 4)²
Рэ (т) — 1+ 8(г - 4) + 12(г — 4)? + 16(z — 4)3
C)
D)
Рз(2) — 16 + 8(ӕ — 4) + 12(ӕ — 4)* + 16(х — 4)* Р:(х) — 1 + 32( — 4) + 192(х — 4)° + 1024(г
4)*
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