I'm trying to understand how to interpret multidemensional limits. For example, suppose you have the following:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\lim\limits_{x \to \infty}\lim\limits_{y \to \infty} x\frac{1}{y}[/tex]

Would this be infinity, 0, or 1?

This is really a more general version of the question I'm working with regarding the behavior of a function that has the property [tex]f_a(b) \to\limits_{a \to \infty} 1[/tex] and [tex]f_a(b) \to\limits_{b \to \infty} \infty[/tex] in the context that both a and b are going to infinity.

Thanks in advance for any help!

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# Multidimensional limits

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