Explore BrainMass

Real Analysis : Subsequences and Convergence

Let fn(x) = cos(nx) on R. Prove that there is no subsequence fnk converging uniformly in R.

Please see the attached file for the fully formatted problems.


Solution Summary

Convergence of a subsequence is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.