Proving the Limit of (x^2)(sin y)^2)/(x^2+2y^2) at (0,0) without Squeeze Theorem

[chaose]

Is there anyway to show that the limit for ((x^2)(sin y)^2)/(x^2+2y^2) exists without using the squeeze theorem? I was thinking about the episilon-delta definition of the limit.sorry, I forgot the values.
limit (x,y) -> (0,0) of ((x^2)(sin y)^2)/(x^2+2y^2)

 

[radou]

Is there anyway to show that the limit for ((x^2)(sin y)^2)/(x^2+2y^2) exists without using the squeeze theorem? I was thinking about the episilon-delta definition of the limit.

You forgot to specify the 'variable -> value' part.

 

[arildno]

Convert to polar coordinates.