Xn is a Cauchy Sequence Xn converges to x iff Yn converges to x. Popular Videos Bounded monotonic decreasing sequence converges to its infimum February 13, 2021 Uniform Continuity | Definition | A continous function defined on a compact set is uniformly continous | Limit and Continuity | Real Analysis March 14, 2021 f is continous,one-one onto function and X is compact then inverse of f is also continous | Theorem | maximum and minimum value theorem | Continuity and Compactness | Real Analysis March 10, 2021 U(P,f,α)- L(P,f,α) < ε | Condition of Integrability | Theorem | the Riemann Stieltjes Integral April 19, 2021 Description Xn is a Cauchy Sequence and Yn is any other Sequence Xn converges to x iff Yn converges to x. View Fullscreen Posted by Cheena Banga | Feb 18, 2021 | Real Analysis, Sequences in metric space | 0 |