2. Let gn(x) to zero uniformly on [a, o). Show that the convergence is not uniform on [0, 00). for n e N. Show that if a > 0, then gn converges 1+n²x²
2. Let gn(x) to zero uniformly on [a, o). Show that the convergence is not uniform on [0, 00). for n e N. Show that if a > 0, then gn converges 1+n²x²
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2. Let gn(x) =
to zero uniformly on [a, o). Show that the convergence is not uniform on
[0, 0).
for n e N. Show that if a > 0, then gn converges
nx
1+n²x²
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