Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Using | fn(x) - f(x) |
2. Show that if a > 0, then the sequence (n²x²e¬na) converges uniformly on
the interval [a, ∞), but that it does not converge uniformly on the interval
[0, 0).
-nx
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Transcribed Image Text:2. Show that if a > 0, then the sequence (n²x²e¬na) converges uniformly on the interval [a, ∞), but that it does not converge uniformly on the interval [0, 0). -nx
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I am trying to compute this problem WITHOUT using the sup property. By stating that for any n > N(\epsilon) | fn(x) - f(x) | < \epsilon

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I am trying to compute this problem WITHOUT using the sup property. By stating that for any n > N(\epsilon) | fn(x) - f(x) | < \epsilon

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