Math miscellaneousHard
Question
If the expansion in powers of x 
is
a0 + a1x + a2x2 + aa3x3 + ...., then an is
is a0 + a1x + a2x2 + aa3x3 + ...., then an is
Options
A.
B.
C.
D.
Solution
(1 - ax)-1 (1 - bx)-1 = (1 + ax + a2x2 + ....)(1 + bx + b2x2 + ....)
∴ coefficient of xn = bn + abn-1 + a2bn-2 + ....+an-1b + an =
∴ an =
∴ coefficient of xn = bn + abn-1 + a2bn-2 + ....+an-1b + an =
∴ an =
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