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education/math/MATH1220 (calc II)/Sequences.md
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@@ -136,6 +136,6 @@ The above series is a power series where $a_n = 1$ and $c = 0$.
The behavior a given power series falls into one of three cases: The behavior a given power series falls into one of three cases:
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. 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.
2. The series converges for all $x = \mathbb{R}$ 2. The series converges for all $x = \mathbb{R}$
3. 3. The series will converge at a single point, $c$.
# Examples # Examples