Math Help - function

1. function

Hello,

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

2. Why don’t you use this resource to post LaTeX?

3. I'll have a go at the latex resource. I would appreciate it if you could assist me with the problem as well.