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Multivariable Calculus

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Moderate

Limit Of $2x^2y^2/(x^4+y^4)$ At The Origin

MVCALC-@3MGO8

Choose the correct statement concerning the limit:

$$\lim_{(x,y)\to(0,0)} \cfrac{2x^2y^2}{x^4+y^4}$$

A

The limit exists, and is equal to zero.

B

The limit exists, and is equal to $1$.

C

The limit does not exist.