# Real analysis

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Let (a_n) be a bounded sequence and define the set

S={x belong to R: x< a_n for infinitely many terms a_n}.

show that there exists a subsequence(a_nk) converging to s=sup S

https://brainmass.com/math/real-analysis/real-analysis-26498

#### Solution Summary

This is a proof regarding a bounded sequences and subsequences.

$2.49