Explore BrainMass
Share

Real analysis

This content was STOLEN from BrainMass.com - View the original, and get the solution, here!

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

© BrainMass Inc. brainmass.com September 22, 2018, 2:43 pm ad1c9bdddf - https://brainmass.com/math/real-analysis/real-analysis-26498

Solution Summary

This is a proof regarding a bounded sequences and subsequences.

$2.19