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How to prove a number series is unbounded

by y_lindsay
Tags: number, prove, series, unbounded
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y_lindsay
#1
Jan23-08, 07:55 AM
P: 17
If we know for every n<m, [tex]\left|x_{n}-x_{m}\right|>\frac{1}{n}[/tex],
can we conclude that number series {[tex]x_{n}[/tex]} is unbounded? and how to prove that?
Thanks a lot.
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