let-f-n-x-nx-2-e-x-n-x-0-1-study-the-simple-convergence-of-f-n-x-2-study-the-uniform-convergence-of-f-n-x-

Question Number 33347 by caravan msup abdo. last updated on 14/Apr/18

l e t f_{n} (x) = {n x}^{2} e^{- x \sqrt{n}}, x ⩾ 0

1) s t u d y t h e s i m p l e c o n v e r g e n c e o f

Σ f_{n} (x {

2) s t u d y t h e u n i f o r m c o n v e r g e n c e o f

Σ f_{n} (x) .