Having a little trouble with a question for this week's homework;
The question is,
Apply the definition of the limit to show that
lim (x, y) -> (0, 1) for ((x^2)y(y-1)^2)/(x^2+(y-1)^2) = 0
Usual me would just sub in values to prove but obviously I can't, as 0/0 would occur. I've tried looking up a few different techniques to tackle it ("squeezing" method, delta epsilon) but I can't get my head around applying them to this question.
Can anyone give me a hint?
Also, sorry for the equation format, is there a tutorial on how to set it up all pretty for the future? I'm new