Question

analysis help

Answer 1

let
(X;d)
be a matric space and
\[C _{b}(X,R)\]
denote the set of all continuous bounded real valued functions defined on X, equipped with the uniform metric.
d(f,g)=sup){|f(x)−g(x)|:x in X}
Show that
\[C _{b}(X,R)\]is a complete matric space

Answer 2

my solution

Answer 3

@shevron
Sorry not upto speed on this topic!!

Answer 4

@shevron really sorry. hav no idea abt this:(

Answer 5

What's a Cauchy sequence?

Answer 6

How can you start of letting \(f_n\) be a Cauchy sequence though? Doesn't it need a metric?