Re: Limit exist of not for this function
- From: The World Wide Wade <aderamey.addw@xxxxxxxxxxx>
- Date: Thu, 05 Jul 2007 12:07:34 -0700
In article <1183635760.255634.155850@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
wileyregister1@xxxxxxxxx wrote:
f(x,y) = (x^3)*y/(x^5 + y^2)
as (x,y) --> (0,0)
I think the limit is zero but could not prove it.
f is not defined on the curve x^5 + y^2 = 0, so in what sense is the
limit taken? You can exclude this curve from the domain of f, but f
still blows up near each point of it. As f = 0 on the axes, there's no
hope for a limit, finite or infinite.
.
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