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\leftline{Mathematics 242 -- Principles of Analysis}
\leftline{Definitions Quiz 4 -- October 14, 2005}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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\item{1.} What is the definition of convergence for a sequence $(x_n)$?
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\item{2.} Give an example of a sequence containing one subsequence
that converges and a different subsequence that diverges.
\bye