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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