Give an example of a sequence of continuous functions such that for each x in I = [0,1], converges to a real number f(x), but the limit function f is not continuous.

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- Jan 16th 2009, 01:58 PMaliceinwonderlandlimit of a sequence of functions in a metric space
Give an example of a sequence of continuous functions such that for each x in I = [0,1], converges to a real number f(x), but the limit function f is not continuous.

- Jan 16th 2009, 02:00 PMThePerfectHacker