Hello,

Let W be a subspace of the set C[0,1/2]={f: [0,1/2] -> complex | f is constinous} .

For $\displaystyle \delta>0$ i put:

g(x)=delta*sum( (1/(n+1)*x^n ) (sum goes from n=1 to infinity and x belongs to [0,1/2]).

How do I show that g(x) belongs to B(0,delta)??

Sorry for the format. For some reason the latex won't compile. I've had this problem since yesterday.

Thanks.