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Mathematics
Problem
The power series
∑
n
=
1
∞
(
−
1
)
n
−
1
(
x
−
3
)
n
−
1
\displaystyle \sum_{n=1}^{\infty} (-1)^{n-1}(x-3)^{\,n-1}
n
=
1
∑
∞
(
−
1
)
n
−
1
(
x
−
3
)
n
−
1
has radius of convergence
1
1
1
. Determine the interval of convergence of its antiderivative obtained by integrating the series term by term.
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