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Find a Taylor polynomial of degree 2 centered at x = 0 that can be used to approximate the following function. In(x + 1) You should reduce the factorials if there are any, but you do not need to multiply out any (x - c) k P3(x) Use your answer above to approximate In(1.5) In(1.5)

Find a Taylor polynomial of degree 2 centered at x = 0 that can be used to approximate the following function. In(x + 1) You should reduce the factorials if there are any, but you do not need to multiply out any (x - c) k P3(x) Use your answer above to approximate In(1.5) In(1.5)

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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Find a Taylor polynomial of degree 2 centered at x = 0 that can be used to approximate the following function. In(x + 1) You should reduce the factorials if there are any, but you do not need to multiply out any (x − c)k P3(x) Use your answer above to approximate In(1.5) In(1.5)~ Using the fact that f(x) above. |E3|< = 6 (1+x)4 ³ Find the smallest possible Lagrande error bound for your answer
Transcribed Image Text:Find a Taylor polynomial of degree 2 centered at x = 0 that can be used to approximate the following function. In(x + 1) You should reduce the factorials if there are any, but you do not need to multiply out any (x − c)k P3(x) Use your answer above to approximate In(1.5) In(1.5)~ Using the fact that f(x) above. |E3|< = 6 (1+x)4 ³ Find the smallest possible Lagrande error bound for your answer
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