Question: need help EXTRA CREDIT: Construct a function f : [0, 1] - R and a sequence of functions for : [0, 1] - R such

need help

need help EXTRA CREDIT: Construct a function f :
EXTRA CREDIT: Construct a function f : [0, 1] - R and a sequence of functions for : [0, 1] - R such that . In is uniformly continuous for all n In - f pointwise . f is discontinuous at every point of [0, 1]. Or, show that no such function exists

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