So, to make sure I understand.
When x -> 0 while y = 0, the limit equals 1. When y -> 0 while x = 0, the limit equals -1. Therefore, the limit does not exist. Am I correct?
I appreciate your help.
Homework Statement
Evaluate the following limit or give a reason explaining why the limit does not exist.
\lim_{(x,y) \to (0,0)}\frac{x-y}{x+y}
Homework Equations
x = r*\cos\theta
y = r*\sin\theta
The Attempt at a Solution
\lim_{r \to...