Limit of serverable variables, need help

What exactly is the limit going to??? And your problem is very hard to interpret ... might want to re-type that with proper parenthesis.

let x=y

 

But is it in the denominator? Is this [itex](x^2+ y^2)/(\sqrt{x^2+ y^2})+ 1[/itex] or [itex](x^2+ y^2)/(\sqrt{x^2+ y^2}+ 1)[/itex] ?



3. The attempt at a solution
i let y=o and got 2, and y=x² and x=y² and got 2, so how can i be sure this limit is 2, what other method must i try to be sure ?[/QUOTE]
One way to check is to change to polar coordinates. Since only r measures "distance to (0,0), if the limit, as r goes to 0, does not depend on [itex]\theta[/itex], that is the limit.