This preview shows page 1. Sign up to view the full content.
Unformatted text preview: ssion for this linear approximation. For 810, find the Taylor Series.
8.
at
n
0
1
2
3
4 9. at n
0
1
2
3
4 when 10.
n
0
1
2
3
4 at 11.
n
0
1
2
3
4 at 12. Determine the Taylor series about First find a Taylor Series about for the following integral for the integrand. 13. Approximate
using a Taylor polynomial of degree 3 at the number
Use Taylor’s Inequality to estimate the accuracy of the approximation
when x lies in the interval
. The thirddegree Taylor polynomial will only have powers of x through 3. . Taylor’s Inequality:
If for , then for Also for
the max of so
for for is increasing for
should be at
. so...
View
Full
Document
This document was uploaded on 02/27/2014 for the course M 408d at University of Texas at Austin.
 Spring '07
 Sadler
 Maclaurin Series, Taylor Series

Click to edit the document details