Find the Taylor polynomial of order 3 generated by fat a. f(x) = In (x + 1), a = 7

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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Question 5
Find the Taylor polynomial of order 3 generated by f at a.
f(x)= In (x + 1), a = 7
x-7 (x-7)² (x-7)³
OA. P3(x) = In 8+
+
8
128
1,536
X-7 (x-7)² (x-7) ³
OB. P3(x)= In 6-
+
6
72
648
OC. P3(x) = In 6+
X-7 (x-7)² + (x-7) ³
+
6
72
648
X-7
OD. P3(x) = In 8-
(x-7)² (x-7)³
8
128
1,536
+
Transcribed Image Text:Find the Taylor polynomial of order 3 generated by f at a. f(x)= In (x + 1), a = 7 x-7 (x-7)² (x-7)³ OA. P3(x) = In 8+ + 8 128 1,536 X-7 (x-7)² (x-7) ³ OB. P3(x)= In 6- + 6 72 648 OC. P3(x) = In 6+ X-7 (x-7)² + (x-7) ³ + 6 72 648 X-7 OD. P3(x) = In 8- (x-7)² (x-7)³ 8 128 1,536 +
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