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Which of the following statements is true about the function f(x) = sin(x¹) cos(x²)? Only one answer is correct. Its Taylor series expansion about x = 0 is 1. Its Taylor series expansion about x = 0 is 1 + + 0(5). Hence it has a local minimum at x = 0. 2 Its Taylor series expansion about x = 0 is 1 Its Taylor series expansion about x = 0 is 1+ 3922 + 0(x5). Hence it has a local minimum at x = 0. 2 Its Taylor series expansion about x = 0 is 1- minimum at x = 0. x4 2 2 +0(x5). Hence it has a local maximum at x = 0. +0(x5). Hence it has a local maximum at x = 0. 2.3 + 0(x5). Hence it has neither a local maximum nor local 6

Which of the following statements is true about the function f(x) = sin(x¹) cos(x²)? Only one answer is correct. Its Taylor series expansion about x = 0 is 1. Its Taylor series expansion about x = 0 is 1 + + 0(5). Hence it has a local minimum at x = 0. 2 Its Taylor series expansion about x = 0 is 1 Its Taylor series expansion about x = 0 is 1+ 3922 + 0(x5). Hence it has a local minimum at x = 0. 2 Its Taylor series expansion about x = 0 is 1- minimum at x = 0. x4 2 2 +0(x5). Hence it has a local maximum at x = 0. +0(x5). Hence it has a local maximum at x = 0. 2.3 + 0(x5). Hence it has neither a local maximum nor local 6

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of the following statements is true about the function f(x) = esin(x¹) cos(x²)? Only one answer is correct. Its Taylor series expansion about x = Its Taylor series expansion about x = Its Taylor series expansion about = = 0 is 1 + Its Taylor series expansion about x = 0 is 1 Its Taylor series expansion about x = minimum at x = : 0. 0 is 1 0 is 1 + = 0 is 1 + 0(x5). Hence it has a local minimum at x = ; = 0. 2 + 0(x5). Hence it has a local minimum at x = 0. 2 + 0(5). Hence it has a local maximum at x = = 0. 2 + 0(x5). Hence it has a local maximum at x = = 0. 2 x³ + 0(x5). Hence it has neither a local maximum nor local 6
Transcribed Image Text:Which of the following statements is true about the function f(x) = esin(x¹) cos(x²)? Only one answer is correct. Its Taylor series expansion about x = Its Taylor series expansion about x = Its Taylor series expansion about = = 0 is 1 + Its Taylor series expansion about x = 0 is 1 Its Taylor series expansion about x = minimum at x = : 0. 0 is 1 0 is 1 + = 0 is 1 + 0(x5). Hence it has a local minimum at x = ; = 0. 2 + 0(x5). Hence it has a local minimum at x = 0. 2 + 0(5). Hence it has a local maximum at x = = 0. 2 + 0(x5). Hence it has a local maximum at x = = 0. 2 x³ + 0(x5). Hence it has neither a local maximum nor local 6
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