Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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10. (a) Use the integrability
of the power series to express the function
dt as an elementary function
F(x) = f
+31
n=1
(i.e. find the sum of the series for F(x) within its radius of convergence).
(b) Find the MacLaurin series for the function f(x) = x³ sin(x²).
(Hint: start with the series for sin z then replace z by x²)
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Transcribed Image Text:10. (a) Use the integrability of the power series to express the function dt as an elementary function F(x) = f +31 n=1 (i.e. find the sum of the series for F(x) within its radius of convergence). (b) Find the MacLaurin series for the function f(x) = x³ sin(x²). (Hint: start with the series for sin z then replace z by x²)
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