Find the coefficient of x12 in the power series of each ofthese functions.a) 1∕(1 + 3x) b) 1∕(1 − 2x)2c) 1∕(1 + x)8 d) 1∕(1 − 4x)3e) x3∕(1 + 4x)2
Find the coefficient of x12 in the power series of each ofthese functions.a) 1∕(1 + 3x) b) 1∕(1 − 2x)2c) 1∕(1 + x)8 d) 1∕(1 − 4x)3e) x3∕(1 + 4x)2
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 the coefficient of x12 in the power series of each of
these functions.
a) 1∕(1 + 3x)
b) 1∕(1 − 2x)2
c) 1∕(1 + x)8
d) 1∕(1 − 4x)3
e) x3∕(1 + 4x)2
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