Question: Q1. (a) Let f(x) = Ex a sin box where 0 1 + 31 Show that f is a well-defined continuous function which is nowhere

Q1. (a) Let f(x) = Ex a" sin box where 0 1 + 31 Show that f is a well-defined continuous function which is nowhere dif- ferentiable on [0, 27]. (b) Let C be the Cantor set in [0, 1]. n=02n Define c(x) = E an if x = Zoo 2an E C, and c(x) = supy

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