# Sequence converge uniformly?

1. Apr 27, 2009

### aeronautical

Sequence converge uniformly???

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

Define f_{n}: (0,∞) → R, through f_{n} (x) = π*x*exp(-πx), x > 0.
Does the sequence converge uniformly in (0,∞) when n → ∞?

f_{n} = f subscript n

Can somebody please show me all the steps? Any ideas where i can start?

2. Apr 27, 2009

### aeronautical

Re: Sequence converge uniformly???

Is the Uniform convergence theorem a good approach?