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AndreTheGiant
#1
Oct10-11, 03:39 PM
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.
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