# Real Power Series questions

1. Jan 19, 2010

### WannaBe22

1. The problem statement, all variables and given/known data

1.Is there any non-trivial power series that uniformly converges in all R? (a non-trivial power series has infinite non-zero coefficients...)

2. 2. Let f(X) be defined in [a,b]. We'll define fn(x) = [nf(x)] / n where [t]=floor value of t....
Check if the series (fn(x)) uniformly converges in [a,b].

2. Relevant equations
3. The attempt at a solution

I've no idea how to start solving these questions...I realy need some guidance in those...

Thanks