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#### skatenerd

##### Active member

- Oct 3, 2012

- 114

The first function was

$$\frac{x^4-y^2}{x^4+y^2}$$

and I went about showing the limit didn't exist by approaching along the x-axis to (0,0) and along the y-axis to (0,0) and showed that these two limits were different and therefore the limit as (x,y) approaches (0,0) doesn't exist. However I am kind of stumped with the next function.

The function is

$$\frac{x^2(y)}{x^4+y^2}$$

For this I tried the same thing as the first function, but seeing as the x and y on top multiply by each other you end up with 0 for both limits, proving inconclusive. I also tried subbing in \(y=kx^2\) where k is a constant and also \(y=kx\) and neither seemed to work out either. I think I'm missing something here...