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Mathematics
Mathematics
Problem
Given
1
1
−
x
=
∑
n
=
0
∞
x
n
\displaystyle \frac{1}{1-x}=\sum_{n=0}^{\infty}x^{n}
1
−
x
1
=
n
=
0
∑
∞
x
n
for
∣
x
∣
<
1
|x|<1
∣
x
∣
<
1
, obtain a power series for
2
(
1
−
x
)
3
\displaystyle \frac{2}{(1-x)^{3}}
(
1
−
x
)
3
2
and write its general term.
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