A few limit questions.

by AndreTheGiant
Tags: limit
 P: 28 1. The problem statement, all variables and given/known data Hello. I have a few questions I wanted to run by just to make sure I did them right. all the below have lim (x,y) -> (0,0) 1) 2) 2. Relevant equations 3. The attempt at a solution ok so this is what i did for the following. 1) if i approach from the x axis and y axis, both the limits give me -3/0 as an answer. If i approach from y = ax, i also get -3/0 as the final answer. So the limit does not exist? What other methods can i use here because I'm not sure if this is right. 2) approaching from the y-axis I get lim y-> 0 of y^2/y^2 = 1 approaching from the x-axis i get lim x-> 0 3x^2/x^2 = 3 since those two aren't equal I can conclude that the limit does not exist.
 PF Patron HW Helper Sci Advisor Emeritus P: 7,077 Andre, Welcome to PF. You will get better response if you post only one or two problems per thread. (That's also in the Forum Rules.) For (1): You might still want to see if the limit is +∞ or if it's -∞ -- or just plain DOES NOT EXIST. Check that along the y-axis from the positive versus the negative direction. For (2): That's correct. For (3): Also correct.
 P: 28 Thanks for the reply. I edited my post to have 2 questions only. Thanks!
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