Subsequence converges to a point of X in compact metric space. Popular Videos Supremum & Infimum | Subset | Properties | Real Analysis | glb | lub | upper/lower bound February 2, 2021 Xn is a bounded sequence in R limit superior of Xn is x iff Xn>x+€ for atmost finitely many terms Xn February 28, 2021 Union of two NBDS is NBD | neighbourhood | Real analysis | Metric Space | Topology February 2, 2021 f is Continous iff f (Ā) is subset closure of f(A) | Continuity of function | Real Analysis March 9, 2021 Description Sequence in metric space theorem Subsequence of a sequence in compact metric space converges to a point of X. You can find pdf and video related to sequence in metric space. View Fullscreen Posted by Cheena Banga | Feb 12, 2021 | Real Analysis, Sequences in metric space | 0 |