\magnification = \magstep1
\nopagenumbers
\leftline{Mathematics 242 -- Principles of Analysis}
\leftline{Definitions Quiz 8 -- November 19, 2004}
\medskip
\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
\bigskip
\noindent
\item{1.} (15) Let $f : D \to {\bf R}$ and let $c \in D$.
Give the precise 
definition of the statement ``$f$ is differentiable at $c$.'' 
\vglue 3.5truein
\item{2.} (10)  True or False:  If $h_n$ is any sequence 
 such that $\lim_{n\to\infty} h_n = 0$, $c + h_n\in D$ for all
 $n$, and $f$ is 
differentiable at $c$, then
$\lim_{n\to\infty} f(c + h_n) = f(c)$.  (Briefly) explain.
\bye