Repeated sequences
Emeric Deutsch
deutsch at duke.poly.edu
Wed May 4 22:15:46 CEST 2005
On Wed, 4 May 2005, Robert G. Wilson v wrote:
> My Calculus classes told me that there are seven indeterminate forms.
> They being: 0/0, inf/inf, 0*inf, inf-inf, 0^0, inf^0 & 1^inf. The
> undefined forms are: a/0 and 0^-inf.
Me: Not sufficient to be told; one has to memorize what one has been told!
This may help: a^b is indeterminate if its logarithm b*ln(a) is
indeterminate:
0^0 is indeterminate since 0*inf is so;
inf^0 is indeterminate since 0*inf is so;
1^inf is indeterminate since inf*0 is so.
Emeric
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