Question: Let f: RR be an arbitrary real function. If (an) a, must it be the case that the sequence (f(an)) converges to f(a)? Yes.

Let f: RR be an arbitrary real function. If (an) a, must

Let f: RR be an arbitrary real function. If (an) a, must it be the case that the sequence (f(an)) converges to f(a)? Yes. No.

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