Exercise 2. Determine whether the sequence of functions (fn)n converges uniformly on S. 1 S = [0, 1]. S = [0, 1]. fn (x) = 1+ (nx – 1)²' fn(x) = na" (1 – x),

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Chapter2: Second-order Linear Odes
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Exercise 2. Determine whether the sequence of functions (fn)n converges uniformly on S.
S = [0, 1].
S = [0, 1].
S = R.
1
fn(x) =
1+ (пх — 1)2'
fa(m) %3D па" (1 — ),
- fn(x) =
|
x² + n³ )•
Transcribed Image Text:Exercise 2. Determine whether the sequence of functions (fn)n converges uniformly on S. S = [0, 1]. S = [0, 1]. S = R. 1 fn(x) = 1+ (пх — 1)2' fa(m) %3D па" (1 — ), - fn(x) = | x² + n³ )•
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