Reminds me of a discussion with a friend (who is not a mathematician) about how to solve limits like sin(3x^2)/(1-cos(x)) as x->0. He said that they were taught to use L'Hôpital and nothing can be as simple; I said 6. (asymptotic expansions ftw)
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Yep, that's why I added "near a point".
Fair.. Though this conversation is also rather pointless since we all clearly know how to do whatever the hell we're calling by different names
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"near a point" & "pointless" I see what you did there
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i only wish i could say that was on purpose
End of conversation
New conversation -
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One often overlooked fact is that in the complex plane a convergent expansion (Taylor/Laurent) is valid in a ring, while an asymptotic one is typically valid in a sector.
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