A few limit questions.

AndreTheGiant

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.

SammyS

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.

AndreTheGiant

Thanks for the reply. I edited my post to have 2 questions only. Thanks!

SammyS

Post the other two in another thread