Does the following equality generally hold?
$$ \lim_{x\to\infty, y\to\infty} f(x, y) = \lim_{z\to\infty} f(z, z) $$
If not, what are the necessary conditions for the above equation to hold?
Does the following equality generally hold?
$$ \lim_{x\to\infty, y\to\infty} f(x, y) = \lim_{z\to\infty} f(z, z) $$
If not, what are the necessary conditions for the above equation to hold?