Show that the closure of a bounded set is boundedSolutionlet

Show that the closure of a bounded set is bounded.

Solution

let m.n belong to R such that m<=s, n>=s for all s belongs to S

then [m-1,n+1] superset of S

=> S-bar subset of [m-1,n+1]

=> m-1 is lower bound for S-bar

and n+1 is an upper bound for S-bar

hence S-bar is bounded