Question: [3] Consider the sequence defined by Sn(x) = nxe-3 defined for n 2 1 and 0 0 is fixed. Does the sequence converge pointwise

[3] Consider the sequence defined by Sn(x) = nxe-3" " defined for n 2 1 and 0 0 is fixed. Does the sequence converge pointwise on [0, 1] and if so, to what limit? (You may state anything you need about the exponential function.) For what values of a is the sequence uniformly convergent

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