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\leftline{Mathematics 242 -- Principles of Analysis}
\leftline{Definitions Quiz 7 -- November 18, 2005}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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\item{1.} What is the precise definition of the statement 
$f(x)$ is differentiable at $x = c$? 
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\item{2.}  For which values of $a \in {\bf R}$ is 
$$g(x) = \cases{ x^a & if $x \in {\bf Q}$\cr
                 0  & if $x \notin {\bf Q}$\cr}$$
differentiable at $x = 0$?                 
                
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