Recent content by mathe

Here's what I've tried \[|(x+y)sin\frac{1}{x}sin\frac{1}{y}|\leq |x+y|\rightarrow 0 (as x,y\rightarrow 0)\] but it seems to me so simple and too obvious...so I'm not sure about the solution

Prove that (0,0) is the point of discontinuity for the function

Prove that \lim_{x \to\0 ,y\rightarrow 0}(x+y)sin\frac{1}{x}sin\frac{1}{y}=0