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Seeing double

Calculus Level 3

$\displaystyle\lim_{(x,y) \rightarrow (0,0)} \dfrac{xy^{4}}{x^{2} + y^{8}} = \ ?$

2

\infty

-\infty

1

\dfrac{1}{2}

Does not exist

\dfrac{2}{5}

0

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by Brian Charlesworth

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