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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
![19) Prove or
find a counter example to the
following statements:
a) f is continuous on (a,b) implies that for any
(XR)->C, (f(x)) converges
b) f is uniformly on [a, b] & [b, c] implies
that I is continuous on [a, c]
f](https://content.bartleby.com/qna-images/question/fa332eac-d846-4704-9340-0a50b86bfcea/5249bf44-e7f9-4662-b395-388876404734/sebuuhh_thumbnail.png)
Transcribed Image Text:19) Prove or
find a counter example to the
following statements:
a) f is continuous on (a,b) implies that for any
(XR)->C, (f(x)) converges
b) f is uniformly on [a, b] & [b, c] implies
that I is continuous on [a, c]
f
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