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If is the Fourier sine series of on, which of the following statements must be true?I. The graphs of better approximate the function at points of continuity in as gets larger.II., for any.III., for any.

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MCQs on Partial Differential Equations.


If<br><img src='https://www.fatskills.com/images2/GradExams/EE66C1EF-619A-414D-953F-310DC58C9395.png' height='21' width='121'/> is the Fourier sine series of<br><img src='https://www.fatskills.com/images2/GradExams/B947294D-D0CC-4B38-8A0B-6B76B4122DE5.png' height='20' width='35'/> on<br><img src='https://www.fatskills.com/images2/GradExams/40DC8905-8B3D-4889-B805-C982327CB830.png' height='20' width='37'/>, which of the following statements must be true?<br/>I. The graphs of<br><img src='https://www.fatskills.com/images2/GradExams/CFE1B99C-FC1D-4739-9BE0-0E873020FB29.png' height='36' width='146'/> better approximate the function<br><img src='https://www.fatskills.com/images2/GradExams/203085BB-4CDE-402E-A5EC-575C34B85EBF.png' height='18' width='10'/> at points of continuity in<br><img src='https://www.fatskills.com/images2/GradExams/40DC8905-8B3D-4889-B805-C982327CB830.png' height='20' width='37'/> as<br><img src='https://www.fatskills.com/images2/GradExams/D8F0A0B9-3DDB-449C-98D9-B0C3C134E282.png' height='10' width='11'/> gets larger.<br/>II.<br><img src='https://www.fatskills.com/images2/GradExams/3867AD82-D19E-48C8-AE52-57DAA819B7CE.png' height='20' width='133'/>, for any<br><img src='https://www.fatskills.com/images2/GradExams/D8F0A0B9-3DDB-449C-98D9-B0C3C134E282.png' height='10' width='11'/>.<br/>III.<br><img src='https://www.fatskills.com/images2/GradExams/D4A55EA6-F053-4A3B-B2B2-5F4F6510B176.png' height='24' width='151'/>, for any<br><img src='https://www.fatskills.com/images2/GradExams/D8F0A0B9-3DDB-449C-98D9-B0C3C134E282.png' height='10' width='11'/>.





 
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