QUESTION 6 Let fo(x) = nx2 +5 for neN and x ER 4n +3 1. Show that (f.(x)) converges uniformly on [ - a,a] for any a >0.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Course : Real Analysis

QUESTION 6
nx2 +5 for neN and
Let fn(x) =
4n +3
1. Show that (f.(x)) converges uniformly on [ - a,a] for any a >0.
2. Show that (f„(x)) does not converge uniformly on R.
Transcribed Image Text:QUESTION 6 nx2 +5 for neN and Let fn(x) = 4n +3 1. Show that (f.(x)) converges uniformly on [ - a,a] for any a >0. 2. Show that (f„(x)) does not converge uniformly on R.
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