Solving or Evaluating Limits in HP-48g

[SebasMagri]

Hi people... i`ve been searching in the old posts for an answer... but
nothing is very clear for me... it`s possible to evaluate limits in
HP-48g standard..? without memory expansions or libraries...?

[SebasMagri]

By the way, one more question... Do exist a command that allows the
user to know it`s battery level?

[John H Meyers]

On Thu, 23 Aug 2007 21:40:34 -0500, SebasMagri wrote:

> Is it possible to evaluate limits in HP48g standard..?

> without memory expansions or libraries...?

48G (original, rather than Gii/Gs in new series)
generally takes symbolic derivatives without problem,
so if L'Hopital's rule applies, why not?

But one should make sure it does apply:
http://www.newton.dep.anl.gov/askasci/math99/math99169.htm
http://mathworld.wolfram.com/LHospitalsRule.html [rigor, mortis?]

So why is it called "L'Hopital's rule"? (rather than Bernoulli?)
http://en.wikipedia.org/wiki/L'Hôpital's_rule

The above historical note is almost enough to remind one
of Tom Lehrer's satire on Lobachevsky:
http://members.aol.com/quentncree/lehrer/lobachev.htm
http://www.casualhacker.net/tom.lehrer/revisited.html#lobachevsky

There seems to be a simple program already suggested,
which is plenty small enough for 48G (hope it works):
http://www.hpcalc.org/search.php?query=hopital&hp48=1

%%HP: T(3)A(R)F(.); @ header for cable transfer only
@ LIMIT, by Bruno Barberi Gnecco <brunobgatgeocities>
\<< \-> A B C D
\<< A C \.d B C \.d DUP
IF C D 2 \->LIST | 0 ==
THEN C D LIMIT
ELSE / C D 2 \->LIST |
END
\>>
\>>

@ End

[John H Meyers]

On Thu, 23 Aug 2007 22:06:21 -0500:

> http://www.hpcalc.org/search.php?query=hopital&hp48=1

> %%HP: T(3)A(R)F(.); @ header for cable transfer only
> @ LIMIT, by Bruno Barberi Gnecco <brunobgatgeocities>
> \<< \-> A B C D

Oh, it's not exactly self-evident what are A, B, C, D.

Bruno includes a text document in his zip file
(which ought to be read in entirety), but to be brief:

4: 'x^2-1' (numerator)
3: 'x-1' (denominator)
2: 'x' (variable)
1: 1 (limit [at])

-[ ]-

[SebasMagri]

On 23 ago, 23:06, "John H Meyers" <jhmey...@nomail.invalid> wrote:
> On Thu, 23 Aug 2007 21:40:34 -0500, SebasMagri wrote:
> > Is it possible to evaluate limits in HP48g standard..?
> > without memory expansions or libraries...?
>
> 48G (original, rather than Gii/Gs in new series)
> generally takes symbolic derivatives without problem,
> so if L'Hopital's rule applies, why not?
>

> But one should make sure it does apply:http://www.newton.dep.anl.gov/askasci/math99/math99169.htmhttp://mathworld.wolfram.com/LHospitalsRule.html[rigor, mortis?]
>
> So why is it called "L'Hopital's rule"? (rather than Bernoulli?)http://en.wikipedia.org/wiki/L'Hôpital's_rule

>
> The above historical note is almost enough to remind one

> of Tom Lehrer's satire on Lobachevsky:http://members.aol.com/quentncree/lehrer/lobachev.htmhttp://www.casualhacker.net/tom.lehrer/revisited.html#lobachevsky

>
> There seems to be a simple program already suggested,
> which is plenty small enough for 48G (hope it works):http://www.hpcalc.org/search.php?query=hopital&hp48=1
>
> %%HP: T(3)A(R)F(.); @ header for cable transfer only
> @ LIMIT, by Bruno Barberi Gnecco <brunobgatgeocities>
> \<< \-> A B C D
> \<< A C \.d B C \.d DUP
> IF C D 2 \->LIST | 0 ==
> THEN C D LIMIT
> ELSE / C D 2 \->LIST |
> END
> \>>
> \>>
>
> @ End

Thanks so much Jhon... i maybe will have to search a little more next
time...

I didn`t remember L'Hôpital Rule... So much time without a good review
for calculus... :D