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\leftline{Mathematics 242 -- Principles of Analysis}
\leftline{Definitions Quiz 3 -- September 23, 2005}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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\item{1.} What does it mean for a set to be {\it countable}?
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\item{2.} What is the precise definition of the statement
``the sequence $(x_n)$ converges to the real number $a$'' (or
equivalently, $\lim_{n\to\infty} x_n = a$)?
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