fa(x)= {sin?. sis).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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please help with exercise 5

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5. Let
n+
f.(x)= { sin2.
+1
0.
Show that {f} converges to a continuous function, but not uniformly. Use the
series E f, to show that absolute convergence, even for all x, does not imply uni-
form convergence.
Transcribed Image Text:5. Let n+ f.(x)= { sin2. +1 0. Show that {f} converges to a continuous function, but not uniformly. Use the series E f, to show that absolute convergence, even for all x, does not imply uni- form convergence.
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