Re: Various notes about the TI 92
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James Rankin wrote:
>
> 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.
Look at the values of the function at x>0. All of these values are 0;
therefore, the limit from both sides can't be 1, regardless of
what the limit from the left is.
I'm sure this was probably just a silly mistake -- believe
me, I make my own all the time [like spelling "theory" wrong in a previous
post].
Here's something else you may also want to try on the 92:
1. Evaluate 1/0 -- you should get undefined
2. Evaluate 0^2
3. Evaluate 1/ans(1)
4. Stare in horror as your 92 reports infinity
Just so nobody gets the wrong idea, I LOVE my TI-92 -- it's great,
but it's not perfect. Yet. :)
Shameless plug: Looking for number theory programs (yes, I didn't
type "theory" wrong this time) for your TI-92? Ver 0.7 of my
number theory program group should be available and now includes an
implementation of pollard's p-1 method of factoring. Also:
Pollard, that hideous program, is now a function (rho) that returns a much
prettier string.
Hope this helps...
- Paul
paulp@televault.com
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