Re: Focus on the HP50g Message #14 Posted by Ronald Williams on 22 Jan 2013, 9:18 p.m., in response to message #1 by Mic
Quote:
Hello, I wrote anarticle about the current position of the HP50g :
http://www.calc-bank.com/index.php?mod=news&ac=commentaires&id=1812
What do you think about that ?
Hi Mic,
I found your example on limits to be an interesting choice of what the HP-50g can't do or can it solve the example with a slight re-write of the equation. Another question that came to my mind when looking at the example problem was what engineering discipline would find this equation useful?
To solve the example on the HP-50g just use the 'TAYLR' or 'TAYLOR0' function (on the same soft menu as 'lim') to re-write the equation in terms of x and then take the limit.
I'm not sure why the HP-50g requires this additional step but the shape of the function is somewhat unique for the x^4 denominator vs trying other powers of x in the denominator.
I did a little experimenting with limits close to zero on the HP-50g and found that you can find an approximate answer to the example by taking the limit at x= +/- 1/100.
I don't know what software/hardware you were using to verify the correct limit of -1/12 for this example but I found the TI-89 gives the correct result as well as WolframAlpha. However, what was surprising to me is that if you try different denominators of increasing powers of x, such as, x^5, X^6, X^7, X^8, X^9....X^44 the TI-89 fails to find a limit it reports 'undef' while the HP-50g finds all these limits without the additional step noted above and agrees with WofframAlpha for the limit values.
I don't think I found your article about the HP-50g unless it was about the hidden menus (Easter eggs). Was that it or did I miss something? Were you trying to promote HP-50g sales on Amazon?
The Easter Eggs are interesting but not new. I believe they have existed in various forms from the HP-48 through the HP-50g. For starters check out http://groups.google.com/group/comp.sys.hp48/browse_thread/thread/a1bf7a0607cb526/65bfa1c5264fc28b?lnk=gst&q=easter+eggs#65bfa1c5264fc28b
Ronald Williams
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