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An upper bound u of a non-empty set S in ? is the supremum of S if and only if , for every ? > 0, there exists an s ? such that u - ? < s

          An upper bound u of a non-empty set S in ? is the supremum of S if and only if , for every ? > 0, there exists an s ? such that u - ? < s
        
An upper bound u of a non-empty set S in ? is the supremum of S if and only if , for every ? > 0, there exists an s ? such that u - ? < s

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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An upper bound u of a non-empty set S in R is the supremum of S if and only if for every € > 0, there exists an s € such that u - € < s
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Transcript

-
00:01 In this question we need to choose the correct option for the incubic spleen interpolation.
00:20 So in the first given option we have here the third derivative, the third derivative derivative of the spleen are continuous at the interior data.
00:57 Into data.
01:02 So here in the cubic spilling interpolation the first and the second derivatives of the spilling is continuous in the interior data points.
01:15 So this option is not the right answer.
01:19 Second given option is the first derivative, the first derivative of the spline, spleen lines.
01:40 Are continuous at the interior data points.
01:56 So as you know, this is not true for the interior data points.
02:01 So this option is also a wrong one...
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