Every Cauchy sequence is Bounded sequence but converse is not true Popular Videos Xn is a bounded sequence in R, limit superior of Xn is equal to inf(sup m>=n Xn) March 1, 2021 Limit Inferior and limit Superior definition and examples February 27, 2021 f is continuous iff f1,f2,f3,……………,fk is continous | Theorem | Continuity of function | Real Analysis March 9, 2021 Monotonic function on [a b] is R-S Integrable | Theorem | The Riemann Stieltjes Integral April 23, 2021 Description Every Cauchy sequence is Bounded but converse is not true. Every bounded sequence is not a Cauchy sequence. example of bounded sequence but not a Cauchy sequence (-1)^n is bounded but not a Cauchy sequence. View Fullscreen Posted by Cheena Banga | Feb 13, 2021 | Real Analysis, sequence and series | 0 |