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Suppose is a sequence of real-valued functions in and that is a given function.Which of the following statements must be true? I.uniformly on. II. is a continuous function. III. in.

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MCQs on Partial Differential Equations.


Suppose<br><img src='https://www.fatskills.com/images2/GradExams/0FEDF46E-81F6-4154-BE28-50CDB85E2CEE.png' height='20' width='31'/> is a sequence of real-valued functions in<br><img src='https://www.fatskills.com/images2/GradExams/351CE08E-B080-4953-8DAA-DDBED2BB32A9.png' height='22' width='63'/> and that<br><img src='https://www.fatskills.com/images2/GradExams/0A13C5C3-78F1-4E00-BE23-04AFF5080370.png' height='20' width='111'/> is a given function.Which of the following statements must be true?<br/> I.<br><img src='https://www.fatskills.com/images2/GradExams/640FB50A-D86C-4371-89CE-AFB315C322E1.png' height='18' width='60'/>uniformly on<br><img src='https://www.fatskills.com/images2/GradExams/0088C705-D6D5-4D95-9E88-B8EE30DF78D8.png' height='20' width='35'/>.<br/> II.<br><img src='https://www.fatskills.com/images2/GradExams/203085BB-4CDE-402E-A5EC-575C34B85EBF.png' height='18' width='10'/> is a continuous function.<br/> III.<br><img src='https://www.fatskills.com/images2/GradExams/640FB50A-D86C-4371-89CE-AFB315C322E1.png' height='18' width='60'/> in<br><img src='https://www.fatskills.com/images2/GradExams/351CE08E-B080-4953-8DAA-DDBED2BB32A9.png' height='22' width='63'/>.





 
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