Problem 2. Find the pointwise limit of the following sequences, and determine whether the convergence is...

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Problem 2. Find the pointwise limit of the following sequences, and determine whether the convergence is uniform or not on the given sets. (a) fn(x) = sin(nx) on [0, ], n (b) fn(x) = sin(nx) nx on (0, 2 x (c) fn(x) = en on [0,), on [0,5] and on (0,5). Problem 2. Find the pointwise limit of the following sequences, and determine whether the convergence is uniform or not on the given sets. (a) fn(x) = sin(nx) on [0, ], n (b) fn(x) = sin(nx) nx on (0, 2 x (c) fn(x) = en on [0,), on [0,5] and on (0,5).

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a For fnxsinx on 0 1 the pointwise limit as n is a function that is not continuous The limit functio... View the full answer