Every Cauchy sequence is Bounded sequence but converse is not true Popular Videos Subsequence converges to a point of X in compact metric space. February 12, 2021 f is uniformly continous and Xn is a Cauchy sequence in X them f(Xn) is Cauchy sequence in Y | Limit and Continuity | Real Analysis March 14, 2021 Limit of a Sequence | Short Trick | CSIR NET / IIT JAM / GATE March 11, 2021 X2k converges to l and X2k-1 converges to l then Xk converges to l February 13, 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 |