Question: Consider the sequence of functions < fk > defined on R by te R. fR(t): 1- (a) Does the sequence have a pointwise limit?

Consider the sequence of functions < fk > defined on R by

Consider the sequence of functions < fk > defined on R by te R. fR(t): 1- (a) Does the sequence have a pointwise limit? If so, describe it. (b) Does the sequence converge uniformly? If so, provide a proof.

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