let f_n (x)= nx^2 e^(−x(√n)) , x≥0 1)study the simple convergence of Σ f_n (x{ 2) study the uniform convergence of Σ f


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Question Number 33347 by caravan msup abdo. last updated on 14/Apr/18
$let f_n (x)= nx^2 e^(−x(√n)) , x≥0 1)study the simple convergence of Σ f_n (x{ 2) study the uniform convergence of Σ f_n (x).$
$l e t f_{n} (x) = {n x}^{2} e^{- x \sqrt{n}}, x ⩾ 0$ $1) s t u d y t h e s i m p l e c o n v e r g e n c e o f$ $Σ f_{n} (x {$ $2) s t u d y t h e u n i f o r m c o n v e r g e n c e o f$ $Σ f_{n} (x) .$
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