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Let $\{x_n\}$ be a sequence of real numbers and let $y_n = \max \{x_1, x_2, \ldots , x_n\}$ for each positive integer $n$.

Give an example of an unbounded sequence {$x_n$} for which {$y_n$} converges.

I understand this conceptually but having a difficult time finding such a sequence. Any help would be appreciated!

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    Hint: What if the $x_n$'s are negative? – 2017-02-26
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    hmmm i don't think i understand – 2017-02-26
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    What if $x_n=-n$? – 2017-02-26

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If $x_n=-n$, then $y_n=-1$, for all $n\in\mathbb N$, and hence $\{y_n\}$ converges.