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9. Design a power series that has (4,8) as its interval of convergence. 10. Find the Taylor/Maclaurin series for about the point x = 0. Then let x = 1 and check the partial sum of first five terms. Does this appear to converge? Why or why not? Then let x = 2 and again check the partial sum of the first five terms. Does the appear to converge? Why or why not.

9. Design a power series that has (4,8) as its interval of convergence. 10. Find the Taylor/Maclaurin series for about the point x = 0. Then let x = 1 and check the partial sum of first five terms. Does this appear to converge? Why or why not? Then let x = 2 and again check the partial sum of the first five terms. Does the appear to converge? Why or why not.

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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9. Design a power series that has (4,8) as its interval of convergence. about the point x = 0. Then let x = 1 and check the partial sum of first five terms. Does this appear to converge? Why or why not? Then let x = 2 and again check the partial sum of the first five terms. Does the appear to converge? Why or why not. 10. Find the Taylor/Maclaurin series for x²+4
Transcribed Image Text:9. Design a power series that has (4,8) as its interval of convergence. about the point x = 0. Then let x = 1 and check the partial sum of first five terms. Does this appear to converge? Why or why not? Then let x = 2 and again check the partial sum of the first five terms. Does the appear to converge? Why or why not. 10. Find the Taylor/Maclaurin series for x²+4
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