Choose and work either a) or b), NOT BOTH. (a) Show that the function f (x) = sin x for x ER is uniformly continuous. (b) Show that the function k(x) = sin(1/x) is not uniformly continuous on the set D(k) = {r € F : 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Real Analysis 1

4. Choose and work either a) or b), NOT BOTH.
(a) Show that the function f(x) = sin x for x ER is uniformly continuous.
(b) Show that the function k(x) = sin(1/x) is not uniformly continuous on the set
D(k) = {x € F : 0 < x}.
文
Transcribed Image Text:4. Choose and work either a) or b), NOT BOTH. (a) Show that the function f(x) = sin x for x ER is uniformly continuous. (b) Show that the function k(x) = sin(1/x) is not uniformly continuous on the set D(k) = {x € F : 0 < x}. 文
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