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Suppose a sequence of functions (with for each) converges uniformly to a function. Then, which of the following is true?

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MCQs on Real Analysis.


Suppose a sequence of functions<br><img src='https://www.fatskills.com/images2/GradExams/EF47C657-DCE7-48D2-BFDB-8B3E4ECDC112.png' height='20' width='63'/> (with<br><img src='https://www.fatskills.com/images2/GradExams/49590AE7-8F18-4327-AE7F-A07049FFD7A9.png' height='18' width='99'/> for each<br><img src='https://www.fatskills.com/images2/GradExams/CAC35A17-2BAE-491A-9F7B-602CF6017AC7.png' height='10' width='11'/>) converges uniformly to a function<br><img src='https://www.fatskills.com/images2/GradExams/7BF538A1-7246-45F1-B643-D49BA3EA7428.png' height='20' width='35'/>. Then, which of the following is true?





 
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