vault backup: 2025-10-13 16:15:57
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@@ -147,4 +147,4 @@ The behavior a given power series falls into one of three cases:
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$$ \frac{x}{3}$$
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2. For a geometric series, it converges when the ratio $r$ is less than one. Written as an equality, this gives us:
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$$ |r| < 1 \to |\frac{x}{3}| < 1 \to |x| < 3 $$
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This means that the interval of convergence is $(-3, 3)$
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This means that the interval of convergence is $(-3, 3)$, given it diverges at both interval endpoints.
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