- 1 (59.6 KiB) Viewed 25 times
(10 marks) Let X = N be the set of all positive integers and define = 1 d(x, y) - х for x,y E X. Then (X, d) is a metric
-
answerhappygod
- Site Admin
- Posts: 899603
- Joined: Mon Aug 02, 2021 8:13 am
(10 marks) Let X = N be the set of all positive integers and define = 1 d(x, y) - х for x,y E X. Then (X, d) is a metric
(10 marks) Let X = N be the set of all positive integers and define = 1 d(x, y) - х for x,y E X. Then (X, d) is a metric space (see Tutorial 4 (week 5)). (a) Show that the sequence (n) is Cauchy in (X, d). (b) Show that (X, d) is not sequentially complete.