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## Power Series: Radius and Interval of Convergence A
We are interested in which values of $x$ will give us a
convergent series. Such $x$ are like the domain of the power
series, since the series makes sense at values of $x$ for which it
converges, and makes no sense at other values of $x$ for which it
is divergent. It turns out that the
The interval of convergence may include one, both, or no
endpoints. Special cases will be when $R=0$, where the
series converges at the single point $x=0$, and $R=\infty$, where
the series converges on the entire real line. In notation, |