Provide an example of a function of two variables with the desired properties (with justification), or explain why such a function does not exist. A function f(x, y) such that lim (x,mx)→(0,0) F(х,...

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Provide an example of a function of two variables with the desired properties (with justification), or explain<br>why such a function does not exist.<br>A function f(x, y) such that<br>lim<br>(x,mx)→(0,0)<br>F(х, тх) —D 0<br>and<br>lim<br>(x,x²)→(0,0)<br>f(x, x²) = 1<br>and<br>lim<br>(x,y)→(0,0)<br>f(x, y)<br>exists.<br>

Extracted text: Provide an example of a function of two variables with the desired properties (with justification), or explain why such a function does not exist. A function f(x, y) such that lim (x,mx)→(0,0) F(х, тх) —D 0 and lim (x,x²)→(0,0) f(x, x²) = 1 and lim (x,y)→(0,0) f(x, y) exists.

Jun 03, 2022

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Provide an example of a function of two variables with the desired properties (with justification), or explain why such a function does not exist. A function f(x, y) such that lim (x,mx)→(0,0) F(х,...

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