I have been reading online about this, and some consider $0^0$ to be equal to $1$, and others say it's undefined. I can understand the undefined part but why do some assume it to be one?
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1I believe some people assume it to be one since they remember that $a^0 = 1$ and forget the part that says $a \neq 0$. – fosho Jan 06 '16 at 19:18
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1It is undefined until you define it. – Fabian Jan 06 '16 at 19:19
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The most natural way to define $0^0$ is $$0^0:=\lim_{x\rightarrow 0} x^x=1$$ – Peter Jan 06 '16 at 20:55