The Weierstrauss approximation theorem says that under certain conditions on and for any, there is a polynomial, such that for all. Choose from below the weakest such conditions on?

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The Weierstrauss approximation theorem says that under certain conditions on<br><img src='https://www.fatskills.com/images2/GradExams/EEED0CD3-0C3D-4307-8897-9C4210978E54.png' height='18' width='10'/> and for any<br><img src='https://www.fatskills.com/images2/GradExams/9957FAE4-CC2D-41F6-A04F-3F1FC7043FF1.png' height='15' width='42'/>, there is a polynomial<br><img src='https://www.fatskills.com/images2/GradExams/8101AFD9-78EF-4CB9-BB42-C2F11AF71AA5.png' height='13' width='11'/>, such that<br><img src='https://www.fatskills.com/images2/GradExams/3DE08AA5-8025-4893-97DC-5A620A5F2D6F.png' height='20' width='142'/> for all<br><img src='https://www.fatskills.com/images2/GradExams/CD4F96B4-72CD-43AE-A55E-7615FA179507.png' height='20' width='71'/>. Choose from below the weakest such conditions on<br><img src='https://www.fatskills.com/images2/GradExams/EEED0CD3-0C3D-4307-8897-9C4210978E54.png' height='18' width='10'/>?