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HP49-50G: lim(1/x - 1/ (e^x-1)), as x —>+0
04-15-2022, 03:54 PM
Post: #1
HP49-50G: lim(1/x - 1/ (e^x-1)), as x —>+0
I can't get the result of 1/2
when I ask the calculator to evaluate
'lim(1/X-1/(EXP(X)-1),X=+0)'.

Could somebody help me?

Thanks in advance.

Gil
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04-15-2022, 06:13 PM
Post: #2
RE: HP49-50G: lim(1/x - 1/ (e^x-1)), as x —>+0
X INV X e^x 1 − INV −      → 1/X-1/(e^X-1)
0 LIMIT                            → 1/2

This is not 1 sided limit (x=+0) though.
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04-15-2022, 06:53 PM (This post was last modified: 04-15-2022 07:00 PM by Gil.)
Post: #3
RE: HP49-50G: lim(1/x - 1/ (e^x-1)), as x —>+0
Thanks for your (alternative) solution and correction.

Or
'lim(1/X-1/(EXP(X)-1),X=0)'
EVAL

With, as you mentioned, no + before the "0-limit".

New question
I get the answer '1/2'.
Is it possible to change a flag and get 1/2 (without '...')?

Regards
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04-17-2022, 10:44 PM
Post: #4
RE: HP49-50G: lim(1/x - 1/ (e^x-1)), as x —>+0
(04-15-2022 06:53 PM)Gil Wrote:  New question
I get the answer '1/2'.
Is it possible to change a flag and get 1/2 (without '...')?

-79 CF

(Textbook on)
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04-17-2022, 10:51 PM
Post: #5
RE: HP49-50G: lim(1/x - 1/ (e^x-1)), as x —>+0
Beleza!
Obrigado.
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04-17-2022, 10:53 PM
Post: #6
RE: HP49-50G: lim(1/x - 1/ (e^x-1)), as x —>+0
(04-17-2022 10:51 PM)Gil Wrote:  Beleza!
Obrigado.

Não há de quê!
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