Find the coefficient of x10 in the power series of each ofthese functions.a) 1∕(1 − 2x) b) 1∕(1 + x)2c) 1∕(1 − x)3 d) 1∕(1 + 2x)4e) x4∕(1 − 3x)3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the coefficient of x10 in the power series of each of
these functions.
a) 1∕(1 − 2x)

b) 1∕(1 + x)2
c) 1∕(1 − x)3

d) 1∕(1 + 2x)4
e) x4∕(1 − 3x)3

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