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\textbf{Math 225: Calculus III}
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\textbf{Quiz 4}\quad \textsl{September 19, 2002}
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1. Find the limit $\lim_{(x,y) \to (0,0)} \frac{xy(x^2 + y^2)}{x^4 + y^4}$,
or show it does not exist.

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2. Let $f(x,y) = \frac{x+\sin{x}}{1+y}$. Find $f_x$ and $f_y$.

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