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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.