| 1. | The root test shows that its radius of convergence is 1.
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| 2. | The radius of convergence specifies how close is close enough.
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| 3. | It is the radius of convergence of the power series.
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| 4. | In this second case, extrapolating a plot estimates the radius of convergence.
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| 5. | :so that the radius of convergence is 1.
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| 6. | As a result, the radius of convergence of a Taylor series can be zero.
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| 7. | Has a radius of convergence around 0 of only, so it does not converge at.
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| 8. | This definition is formal in that the series does not always have a positive radius of convergence.
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| 9. | It follows from Andr?s theorem that the radius of convergence of the series is / 2.
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| 10. | Notice that Abel's test implies in particular that the radius of convergence is at least 1.
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