Recent content by LeibnizIsBetter

Wow! Thank you so much!

I know this is probably the most basic question imaginable so please bear with me. I did google it but I still couldn't figure it out. Say you have a function $$f(x, y, z)$$ and a point $$(x_0, y_0, z_0)$$ that satisfies the equation $$f(x, y, z) = 0$$. Does that imply that $$f(x_0, y_0, z_0)...

I seem to be having trouble with multivariable epsilon-delta limit proofs. I don't have a very good intuition for how $$\epsilon$$ relates to $$\delta$$. For example: $$Prove \lim_{(x,y) \to (0,0)}\frac{2xy^2}{x^2+y^2} = 0$$ There are probably many ways to do this, but my teacher does it a...