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Mathematics
Problem
Using the geometric series
1
1
+
x
=
∑
n
=
0
∞
(
−
1
)
n
x
n
\displaystyle \frac{1}{1+x}=\sum_{n=0}^{\infty}(-1)^n x^n
1
+
x
1
=
n
=
0
∑
∞
(
−
1
)
n
x
n
for
∣
x
∣
<
1
|x|<1
∣
x
∣
<
1
, find the first three nonzero terms and the general term of the Maclaurin series for
ln
(
1
+
x
)
\ln(1+x)
ln
(
1
+
x
)
.
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