- #1
melknin
- 10
- 0
I'm trying to understand how to interpret multidemensional limits. For example, suppose you have the following:
[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!
[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!