Let fn [0, 1] R, n 1, with fn(x) nx nx + 1' Show...
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Let fn [0, 1] → R, n ≥ 1, with fn(x) nx nx + 1' Show that the sequence has a pointwise limit and compute it. • Does it have a uniform limit? nx Let fn [0, 1] R, n ≥ 1, with fn(x) = Show that the sequence converges uniformly. x + n Let fn [0, 1] → R, n ≥ 1, with fn(x) nx nx + 1' Show that the sequence has a pointwise limit and compute it. • Does it have a uniform limit? nx Let fn [0, 1] R, n ≥ 1, with fn(x) = Show that the sequence converges uniformly. x + n
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Answer rating: 100% (QA)
Solution 1 To show that the sequence of functions fn defined on 01 by fnx nxnx1 has a pointwise limit we need to find a function fx such that for any ... View the full answer
Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
Posted Date:
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