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Nov
22
comment Zero to the zero power - Is $0^0=1$?
@Arturo Thank you very much for the explanation.
Nov
21
comment Zero to the zero power - Is $0^0=1$?
@Arturo: Thanks a lot for the explanation. Yes, case with natural numbers (including 0) is pretty clear now. But, people assert that $0^0 = 1$ even for real numbers. For example: "Kahan has argued that 0.0^(0.0) should be 1, because if f(x), g(x) --> 0 as x approaches some limit, and f(x) and g(x) are analytic functions, then f(x)^g(x) --> 1 ."
Nov
20
comment Zero to the zero power - Is $0^0=1$?
@Arturo: Sorry, my math really sucks, and I thought "set-theory" interpretation doesn't include my elementary case. I would be happy to get a bit more simple explanation.
Nov
20
comment Zero to the zero power - Is $0^0=1$?
Sorry. Possible, my question wasn't clear. I mean $0^0$ in terms of discrete mathematics. This is not a limit. You shouldn't approach it.