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Re: Mathematical Question
From: |
John W. Eaton |
Subject: |
Re: Mathematical Question |
Date: |
Mon, 2 Aug 2004 16:51:49 -0400 |
On 2-Aug-2004, Ada Cheng <address@hidden> wrote:
| You can write (1-x^c)=(1-x)(1+x+...+x^{c-1}), this allows you to rewrite
| y as (sum_{k=1}^c x^k-x^c)/(1-x^c). y is clearly now in indeterminate
| form as x approaches 1. Apply L'Hopital rule, do some algebra and you
| should get the answer. (to make life easy on yourself, you will want to
| use finite sum of arithmetic series formula).
|
| Hope this help.
And at least Maxima thinks your result is the right one:
$ maxima
GCL (GNU Common Lisp) 2.6.2 CLtL1 Jun 29 2004 18:53:13
Source License: LGPL(gcl,gmp), GPL(unexec,bfd)
Binary License: GPL due to GPL'ed components: (READLINE BFD UNEXEC)
Modifications of this banner must retain notice of a compatible license
Dedicated to the memory of W. Schelter
Use (help) to get some basic information on how to use GCL.
Maxima restarted.
(C1) limit (x/(1-x)-c*x^c/(1-x^c), x, 1);
C - 1
(D1) -----
2
jwe
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