Help me with calc if you're into that http://math.stackexchange.com/questions/2124508/inferring-interval-of-convergence-from-one-converging-value-x-and-given-center …
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If you have time that’d be rad! Thanks so much
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sure thing, gimme a couple minutes!
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Done! Hopefully that's clear.
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Aha! That makes sense, by saying x=3 converges we’re making an assurance on that boundary, doesn’t help the other one.
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and thus R doesn’t _need_ to be _greater than_ 2. thanks so much!!

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Correct. This might seem silly in the real-valued case, but in complex analysis the radius of convergence is a circle.
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ohh, I realized another nuance while typing out my own answer to cement my understanding http://math.stackexchange.com/a/2124819/412218 …
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