Write second degree Taylor series expansion for f(x) = e* function at x; = 1. And calculate value of this function at xi+1 = [2,1.5, 1.25, 1.1, 1.01, 1.001] points. Make comments about i. results. ii. Compute f (x) = ln(1 + 2x) at xi+1 = 1.1 by first, second, third, and fourth degree Taylor expansions for this function about x; = 1. Comment about results.
Write second degree Taylor series expansion for f(x) = e* function at x; = 1. And calculate value of this function at xi+1 = [2,1.5, 1.25, 1.1, 1.01, 1.001] points. Make comments about i. results. ii. Compute f (x) = ln(1 + 2x) at xi+1 = 1.1 by first, second, third, and fourth degree Taylor expansions for this function about x; = 1. Comment about results.
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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![i. Write second degree Taylor series expansion for f(x) = e** function at x; = 1. And
calculate value of this function at xi+1 = [2, 1.5, 1.25, 1.1, 1.01, 1.001] points. Make comments about
results.
ii. Compute f (x) = In(1 + 2x) at xi+1 = 1.1 by first, second, third, and fourth degree Taylor
expansions for this function about x;
= 1. Comment about results.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9da137f1-514c-4ecd-8d2d-492fdb2a7454%2F0641fea4-b8aa-4c3c-a10e-752b2685a855%2Fhzqhw6r_processed.png&w=3840&q=75)
Transcribed Image Text:i. Write second degree Taylor series expansion for f(x) = e** function at x; = 1. And
calculate value of this function at xi+1 = [2, 1.5, 1.25, 1.1, 1.01, 1.001] points. Make comments about
results.
ii. Compute f (x) = In(1 + 2x) at xi+1 = 1.1 by first, second, third, and fourth degree Taylor
expansions for this function about x;
= 1. Comment about results.
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