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## Homework Statement

For f(x,y) = (2x - y^2)/(2x^2 + y), what is the limit as (x,y)->(0,0)?

## Homework Equations

## The Attempt at a Solution

From this image, it seems that the limit would be non-existent since on one side of the sheet, it goes up and up to infinity whereas from the other side, it plunges down to negative infinity.

How can I show that the limit is DNE analytically?