if 0 ≤ x ≤ 1/ if // ≤ x ≤ 1/1/20 if // ≤ x ≤ 1 n Show that fn converges pointwise to 0, but not uniformly to 0. fn(2) = nx 2 0 nx

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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if 0 ≤ x ≤
if // ≤ x ≤ 1/1/20
if // ≤ x ≤ 1
n
Show that fn converges pointwise to 0, but not uniformly to 0.
fn(2)
=
nx
2
0
nx
Transcribed Image Text:if 0 ≤ x ≤ if // ≤ x ≤ 1/1/20 if // ≤ x ≤ 1 n Show that fn converges pointwise to 0, but not uniformly to 0. fn(2) = nx 2 0 nx
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