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11.2,3 - Reading questions
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<h2>[11.2,3] - Reading Assignment
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<p>After reading sections 11.2 and 11.3 ...

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<li>When talking about limits for functions of several variables, why isn't it sufficient to say
$$\lim_{(x,y)\to(0,0)}f(x,y)=L$$
if $f(x,y)$ gets close to $L$ as we approach (0,0) along the $x$ axis and along the $y$ axis.  (<i>Hint</i>: consider path independence.)

<li>Show that $\lim_{(x,y)\to(0,0)}\(x^2+y^2\)=0$.

<li>Consider $\lim_{(x,y)\to\infty}\( \frac{xy}{3x^2+2y^2}\)$.  Why does the limit not exist?

<li>Suppose the $f(x,y)$ is continuous everywhere.  Assume that
$f_x(1,1)=2$, $f_y(1,1)=-2$, and $f_{xy}(1,1)=3$. Can you compute $f_{yx}(1,1)$ from this information alone?
<li>Muddy questions? Questions you wonder about?
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