Re: limits help

charlescalculus_robertobaggio@xxxxxxxxxxx writes:

Hi,

I've been trying to expand the following using series : y = x(1+ e^-
x) / (1 - e^-x). I've tried just about everything, from expanding e^-x
using taylor expansion, to expanding the denominator in the fraction
using the binomial theorem, but nothing seems to work. Can anyone
offer some help? Thanks.

Sincerely,
benjamin


Hello,
you might have to try harder!
If you really need help, you should tell us more about the
circumstances: Is it homework? What are you supposed to do? (e.g. at which
point would you asked to perform the series expansion?) And what
are you supposed to know already?
I would guess, that this is some homework, after you learned Taylor
series and did some similar examples in school. Have a look at these
examples, try to solve them without help!
Another hint: Multiply both the nominator and the denominator with
e^(x/2), do you recognize the fraction?

Alois

--
Alois Steindl, Tel.: +43 (1) 58801 / 32558
Inst. for Mechanics and Mechatronics Fax.: +43 (1) 58801 / 32598
Vienna University of Technology, A-1040 Wiedner Hauptstr. 8-10
.

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