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Use the following information to complete parts a. and b. below. f(x) = 13 Inx, a = 4 a. Find the first four nonzero terms of the Taylor series for the given function centered at a. 13 13 OA. The first four nonzero terms are 13 In 4+ (x-4)- 32(x- 13 x-4)². 192 (x-4)³ OB. The first four nonzero terms are 13 In 4-(x-4)-76 (x-4)² - 13 13 13 32 (x-4)³ 13 13 OC. The first four nonzero terms are 4+32(x-4)- 13 192 5(x-4)²+. 13 1024 OD. The first four nonzero terms are +32(x-4)- 32 (x-4)² + 13 13 13 39 64 (x-4)³. b. Write the power series using summation notation. 13(-1)+1(x-4) Ο A. 13In 4+ Σ 4k k=1 00 OB. 13 In 4+ (-1)k. k=0 13(-1)+1 O C. 13 In 4+ k=0 4*(x-4)* 00 OD. 13 In 4+ (-1)+1.. k=1 13 4k (x-4)k 13 k.4k F(x-4) k (x-4)³.

Use the following information to complete parts a. and b. below. f(x) = 13 Inx, a = 4 a. Find the first four nonzero terms of the Taylor series for the given function centered at a. 13 13 OA. The first four nonzero terms are 13 In 4+ (x-4)- 32(x- 13 x-4)². 192 (x-4)³ OB. The first four nonzero terms are 13 In 4-(x-4)-76 (x-4)² - 13 13 13 32 (x-4)³ 13 13 OC. The first four nonzero terms are 4+32(x-4)- 13 192 5(x-4)²+. 13 1024 OD. The first four nonzero terms are +32(x-4)- 32 (x-4)² + 13 13 13 39 64 (x-4)³. b. Write the power series using summation notation. 13(-1)+1(x-4) Ο A. 13In 4+ Σ 4k k=1 00 OB. 13 In 4+ (-1)k. k=0 13(-1)+1 O C. 13 In 4+ k=0 4*(x-4)* 00 OD. 13 In 4+ (-1)+1.. k=1 13 4k (x-4)k 13 k.4k F(x-4) k (x-4)³.

Calculus: Early Transcendentals
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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Use the following information to complete parts a. and b. below. f(x) = 13 Inx, a = 4 a. Find the first four nonzero terms of the Taylor series for the given function centered at a. 13 O A. The first four nonzero terms are 13 In 4+ 13 13 4(x-4)- -(x-4) + (x-4)³. 32 192 13 O B. The first four nonzero terms are 13 In 4-- 13 13 4 (x-4)- -(x-4)². 16 32 (x-4)³ 13 13 O C. The first four nonzero terms are 13 2 (x-4). (x-4)² + 4 32 -(x-4)³. 192 13 13 O D. The first four nonzero terms are 13 4 32 (x-4). 32 (x-4)²+. b. Write the power series using summation notation. 13(-1)+1(x-4) Ο A. 13In 4+ Σ 4k k=1 OB. 13 In 4+ (-1). k=0 13(-1)k+1 O C. 13 In 4+ k=0 4²(x-4) k OD. 13 In 4+ (−1)k+1.. =(x-4) k 13 k.4k k=1 13 4*(x-4)k + + 13 1024 64(x-4)³ 39 2
Transcribed Image Text:Use the following information to complete parts a. and b. below. f(x) = 13 Inx, a = 4 a. Find the first four nonzero terms of the Taylor series for the given function centered at a. 13 O A. The first four nonzero terms are 13 In 4+ 13 13 4(x-4)- -(x-4) + (x-4)³. 32 192 13 O B. The first four nonzero terms are 13 In 4-- 13 13 4 (x-4)- -(x-4)². 16 32 (x-4)³ 13 13 O C. The first four nonzero terms are 13 2 (x-4). (x-4)² + 4 32 -(x-4)³. 192 13 13 O D. The first four nonzero terms are 13 4 32 (x-4). 32 (x-4)²+. b. Write the power series using summation notation. 13(-1)+1(x-4) Ο A. 13In 4+ Σ 4k k=1 OB. 13 In 4+ (-1). k=0 13(-1)k+1 O C. 13 In 4+ k=0 4²(x-4) k OD. 13 In 4+ (−1)k+1.. =(x-4) k 13 k.4k k=1 13 4*(x-4)k + + 13 1024 64(x-4)³ 39 2
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