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\leftline{Mathematics 242 -- Principles of Analysis}
\leftline{Definitions Quiz 7 -- November 12, 2004}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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\item{1.} (15)  Let $f : D \to {\bf R}$ and 
let $c$ be an accumulation point of $D$.
Give the precise ``$\varepsilon$ - $\delta$''
definition of the statement $\lim_{x\to c} f(x) = L$. 
\vglue 3.5truein
\item{2.} (10)  In order for $\lim_{x\to c} f(x)$ to exist,
is it necessary for $c$ to be in the domain of $f$?  Why or why not?
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