a. What is the Taylor Polynomial T3(x) for ex centered at 0? b. Use T3(x) to find an approximate value of e-! c. Use the Taylor Inequality to estimate the accuracy of the approximation above.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
10. Using the Maclaurin Series for ex (e* = E=o
a. What is the Taylor Polynomial T3(x) for e centered at 0?
b. Use T3(x) to find an approximate value of e-1
c. Use the Taylor Inequality to estimate the accuracy of the
approximation above.
Transcribed Image Text:10. Using the Maclaurin Series for ex (e* = E=o a. What is the Taylor Polynomial T3(x) for e centered at 0? b. Use T3(x) to find an approximate value of e-1 c. Use the Taylor Inequality to estimate the accuracy of the approximation above.
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