mammothrob
Junior Member
- Joined
- Nov 12, 2005
- Messages
- 91
So im trying to find that the limit does not exist.
lim as (x,y)->(0,0) [xy+(y^3)]/[(x^2) + (y^2)]
so i tried using the two path rule to prove that the limit does not exist. I used (0,x) and (0,y) to see if they have different limits.
I got y and 0/x for my answers. Im guessing this function cant be proved by looking at two diffent paths. Right? I would need to get real numbers right, not variables. or could that be an answer?
or would this work better using something like y=2x y=X^2 and sub in since they also approche the origin.
hope this made sense. thank you.
lim as (x,y)->(0,0) [xy+(y^3)]/[(x^2) + (y^2)]
so i tried using the two path rule to prove that the limit does not exist. I used (0,x) and (0,y) to see if they have different limits.
I got y and 0/x for my answers. Im guessing this function cant be proved by looking at two diffent paths. Right? I would need to get real numbers right, not variables. or could that be an answer?
or would this work better using something like y=2x y=X^2 and sub in since they also approche the origin.
hope this made sense. thank you.
