Re: Various notes about the TI 92
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> Richard Gallagher wrote:
> > The TI-92 gives a incorrect result for the limit of 0^x as x tends
> > toward 0. It gives the limit as 1 from the left, right and both
> > sides. In fact the limit is 0 from the right, no limit from the left
> > and hence no limit from both sides. It does give a 0^0 replaced by 1
> > warning, but that does not really make up for it.
>
> Are you sure? I believe lim x->0 (0^x) is 1.
Yes I'm sure.
0^x = 0 when x > 0, even the TI-92 will tell you that.
type in to the TI-92:
0^x|x>0
It gives 0 as the result.
Therefore it seems pretty obvious that the limit from above as x -> 0
of 0^x equals 0. If there a double sided limit exists then it can't
be 1.
Richard Gallagher
References: