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Re^2: zero to the power zero

by randyk (Parson)
on Feb 18, 2007 at 23:11 UTC ( #600762=note: print w/replies, xml ) Need Help??


in reply to Re: zero to the power zero
in thread zero to the power zero

If you interpret 0*ln(0) as a limit of x*ln(x) as x tends to 0, then L'H˘pital's rule can be used to infer what this limit is (if it exists):
Lim x ln(x) = Lim 1/(1/x) ln(x) x->0 x->0 = Lim 1/(-1/x^2) (1/x) x->0 = Lim -x = 0 x->0
Thus, since the limit exists, the limit of x*ln(x) as x approaches 0 is 0.

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