Re: Re: Multivariable Limits
- To: mathgroup at smc.vnet.net
- Subject: [mg64702] Re: [mg64690] Re: Multivariable Limits
- From: "David Park" <djmp at earthlink.net>
- Date: Tue, 28 Feb 2006 01:49:33 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
You could parametrize a curve in the plane, x[t] and y[t], and then take the limit of the function in terms of the curve parameter. However, there are many cases in which you will obtain different limits for different curves. In that case, strictly speaking, the limit does not truly exist. David Park djmp at earthlink.net http://home.earthlink.net/~djmp/ From: Alicia [mailto:bgeter at mail.utexas.edu] To: mathgroup at smc.vnet.net Yes but the only example that I saw takes two limits of a function, frist the limit to x then to y but thats not the same thing as taking the limit of both x and y at the same time.