Sequence converge uniformly?

  • #1
Sequence converge uniformly???

Homework Statement



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?
 

Answers and Replies

  • #2


Is the Uniform convergence theorem a good approach?
 

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