Question: Let fn [0, 1] R, n 1, with fn(x) nx nx + 1' Show that the sequence has a pointwise limit and compute it.

Let fn [0, 1] R, n 1, with fn(x) nx nx +

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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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 full answer

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