Question

show limit (x,y) approaches (0,0) using epsilon delta proof of (5x^4 sin(y) + x^4 + y^4)/(x^4 + y^4)=1

Answer 1

Suppose that there exists a \[\delta >0\] such that for \[\forall y \in \mathbb{R}{} |f(x,y)| < \delta \rightarrow N.T.S |f(x)-f(y)| <1\]
I think that's how you start it. And you follow the same process for a delta epsilon w/ function f(x). I think.

Answer 2

Sorry I think it was \[|(x,y)-(0,0)| < \delta N.T.S \rightarrow |f(x,y)-0| < \epsilon \]