Bounded Real Sequences and Metrics
Let X be the set of all bounded real sequences ... (SEE ATTACHMENT FOR COMPLETE QUESTION) ... For points x = {x1,,x2,x3...} and y = {y1,y2,y3...} in X define: d(x,y) := SUP |xk-yk|. (k less than or equal to 1) Prove that d is a metric (remember to explain why d(x,y) is finite!) (Please explain in your own words
