Let fn(x) = for r > 0. 1+n?x? (a) Find f(x) = lim fn(r) (b) Show that if t >0 the convergence is uniform on [0, t]. (c) show that the convergence is not uniform on [0, o0].
Let fn(x) = for r > 0. 1+n?x? (a) Find f(x) = lim fn(r) (b) Show that if t >0 the convergence is uniform on [0, t]. (c) show that the convergence is not uniform on [0, o0].
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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![Let fn(x) =
for x > 0.
1+ n?x2
(a) Find f(x) = lim fn(x)
%3D
(b) Show that if t >0 the convergence is uniform on 0, t.
(c) show that the convergence is not uniform on 0, o0].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F72a1fc5d-4294-41ca-bbb4-a0dd55ddad36%2F7801716c-0764-484e-8b77-3b1f6c375553%2Ffbmwzjn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let fn(x) =
for x > 0.
1+ n?x2
(a) Find f(x) = lim fn(x)
%3D
(b) Show that if t >0 the convergence is uniform on 0, t.
(c) show that the convergence is not uniform on 0, o0].
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