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Two Variables Walked Into A Bar

Calculus Level 3

$\large\displaystyle\lim_{(x,y) \to (0,0)} \dfrac{xy^{2}}{x^{2} + y^{4}} =\, ?$

0

\dfrac{1}{2}

1

\dfrac{3}{4}

\infty

The limit does not exist

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by Brian Charlesworth

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