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Mathematics
Mathematics
Problem
For
∣
x
∣
<
1
|x|<1
∣
x
∣
<
1
, evaluate
S
(
x
)
=
∑
n
=
0
∞
x
n
+
1
n
+
1
S(x)=\displaystyle \sum_{n=0}^{\infty} \frac{x^{\,n+1}}{n+1}
S
(
x
)
=
n
=
0
∑
∞
n
+
1
x
n
+
1
as a simplified elementary function of
x
x
x
.
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