Re: binomial expansion of quantity raised to power of 1/2
- To: mathgroup at smc.vnet.net
- Subject: [mg101639] Re: binomial expansion of quantity raised to power of 1/2
- From: "Sjoerd C. de Vries" <sjoerd.c.devries at gmail.com>
- Date: Sun, 12 Jul 2009 05:49:52 -0400 (EDT)
- References: <h390i2$jjp$1@smc.vnet.net>
I don't know how they did it, but I just typed
Simplify[
Series[(s^2 - h^2)^(1/2), {h, 0, 6}], {s > 0, h > 0}]
and got the same.
Cheers -- Sjoerd
On Jul 11, 5:22 am, Roddye Davis <rod... at ca.rr.com> wrote:
> I saw in an engineering survey book a binomial expansion of (s^2 - h^2)^(=
1/2) = s - (h^2/2s) - (h^4/(8(s^3)))....
>
> How was this result achieved??????? Thanks.