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## Homework Statement

lim (x,y) -> (0,0) for:

(x^3 - y^3) / (x2 + y2)

## Homework Equations

## The Attempt at a Solution

I am checking all the possible lines to check what the limit would be if it did exist:

y = mx, plug this into the equation above

(x^3 - (mx)^3) / (x^2 + (mx)^2)

reduces to:

x(1 - m^3) / (1 + m^2)

so, the limit of this when it approaches 0 would be 0 if it exists. Now how do I find out that it does exist?

I was told to use the squeeze theorem, but I don't know how to find the bounds.