vault backup: 2025-10-13 16:05:57
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@@ -140,4 +140,6 @@ The behavior a given power series falls into one of three cases:
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# Examples
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> When does the series $\sum_{n=0}^\infty \frac{x^n}{3^n}$ converge?
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1. Solving for power series will pretty much start with the ratio test.
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1. Solving for any power series usually starts with the ratio test.
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1. Create a ratio with $n + 1$ and $n$.
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$$ \frac{x^{n+1}}{3^{n+1}} \cdot \frac{3^n}{x^n} $$
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