Question

(a) Find the limit of f(x, y) = (x^4 - y^4) / (x^4 + x^2 * y^2 + y ^4) as (x, y) -> (0, 0) along the line y=mx. Use this to determine if lim (x,y) -> (0, 0) f(x, y) exists.

Answer 1

the limit does not exist

Answer 2

but how to solve or how to set to find the limit?

Answer 3

using y=mx is a little overkill

Answer 4

to find if the limit exists I mean

Answer 5

let x=0 then let y->0

let y=0 then let x->0

Answer 6

you will get two different answers

Answer 7

-1 and 1 you mean?

Answer 8

yes