asked 69.6k views
1 vote
Give an example of a bounded sequence that does not converge

1 Answer

3 votes
Take
a_n=(-1)^n. Then
|a_n|\le1 for all
n, but
\displaystyle\lim_(n\to\infty)a_n doesn't exist.
answered
User Shannon Cornish
by
8.1k points
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