vault backup: 2025-10-13 15:12:06
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@@ -136,6 +136,6 @@ The above series is a power series where $a_n = 1$ and $c = 0$.
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The behavior a given power series falls into one of three cases:
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1. The series converges on an interval with radius $R > 0$ When this happens, each interval endpoint needs to be checked independently, because the ratio test will always be indeterminate at those points.
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2. The series converges for all $x = \mathbb{R}$
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3.
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3. The series will converge at a single point, $c$.
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# Examples
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