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a. Find the first four nonzero terms of the Taylor series for the given function centered at a. 13 OA. The first four nonzero terms are 13 In 5- 5 13 OB. The first four nonzero terms are -- 5 13 OD. The first four nonzero terms are - 5 Ο A. 13In 5+ Σ k=1 8 OC. 13 In 5+ 13 13 OC. The first four nonzero terms are 13 In 5+ (x-5)-(-5)² 5 50 OB. 13 In 5+ (-1)k.. k=0 ∞ b. Write the power series using summation notation. 13(-1)+1(x-5)k 13 5*(x-5)k 13(-1)k+1 K=0 5*(x-5)k ∞ + + 13 50 OD. 13 In 5+ (-1)k+1.13(x-5)k -(x-5)- 13 50 13 25(x - 5)²- (x-5)³. 26 (x-5)-125(x-² -5)². + + 13 (x-5)-375 (-5)²+ 26 125 39 125 13 375 x-5)³. (x-5)³. 13 2500 -(x-5)³.

a. Find the first four nonzero terms of the Taylor series for the given function centered at a. 13 OA. The first four nonzero terms are 13 In 5- 5 13 OB. The first four nonzero terms are -- 5 13 OD. The first four nonzero terms are - 5 Ο A. 13In 5+ Σ k=1 8 OC. 13 In 5+ 13 13 OC. The first four nonzero terms are 13 In 5+ (x-5)-(-5)² 5 50 OB. 13 In 5+ (-1)k.. k=0 ∞ b. Write the power series using summation notation. 13(-1)+1(x-5)k 13 5*(x-5)k 13(-1)k+1 K=0 5*(x-5)k ∞ + + 13 50 OD. 13 In 5+ (-1)k+1.13(x-5)k -(x-5)- 13 50 13 25(x - 5)²- (x-5)³. 26 (x-5)-125(x-² -5)². + + 13 (x-5)-375 (-5)²+ 26 125 39 125 13 375 x-5)³. (x-5)³. 13 2500 -(x-5)³.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 4E
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Use the following information to complete parts a. and b. below. f(x) = 13 In x, a=5 a. Find the first four nonzero terms of the Taylor series for the given function centered at a. 13 OA. The first four nonzero terms are 13 In 5-5 (x- -5)-- 13 13 OB. The first four nonzero terms are - + (x-5)- 50 5 13 OC. The first four nonzero terms are 13 In 5+ -(x-5)- 5 13 13 OD. The first four nonzero terms are - + -(x-5)- 5 50 b. Write the power series using summation notation. ∞ Ο A. 13In 5+ Σ k=1 ∞ OB. 13 In 5+ (-1)k. k=0 ∞ O c. 13 In 5+ Σ k=0 13(-1)+1(x-5)k ∞ 13 5*(x-5)k 13(-1)k+1 5k (x-5)k OD. 13 In 5+ (-1)k +1._13 13 25 (x-5)². (x-5)k 26 125 -(x- - 5)² + 13 50 (x-5) + 13 375 (X-5)² + 26 125 (X-5)³. 39 125 (x-5)3 13 375 (x-5)³. 13 --(x- 2500 x-5)³. (...
Transcribed Image Text:Use the following information to complete parts a. and b. below. f(x) = 13 In x, a=5 a. Find the first four nonzero terms of the Taylor series for the given function centered at a. 13 OA. The first four nonzero terms are 13 In 5-5 (x- -5)-- 13 13 OB. The first four nonzero terms are - + (x-5)- 50 5 13 OC. The first four nonzero terms are 13 In 5+ -(x-5)- 5 13 13 OD. The first four nonzero terms are - + -(x-5)- 5 50 b. Write the power series using summation notation. ∞ Ο A. 13In 5+ Σ k=1 ∞ OB. 13 In 5+ (-1)k. k=0 ∞ O c. 13 In 5+ Σ k=0 13(-1)+1(x-5)k ∞ 13 5*(x-5)k 13(-1)k+1 5k (x-5)k OD. 13 In 5+ (-1)k +1._13 13 25 (x-5)². (x-5)k 26 125 -(x- - 5)² + 13 50 (x-5) + 13 375 (X-5)² + 26 125 (X-5)³. 39 125 (x-5)3 13 375 (x-5)³. 13 --(x- 2500 x-5)³. (...
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