(8 points) For each x in [0, 1], f(x) = x, if x is rational and f(x) = 1-x, if x is irrational. a) What is f(1/2)2 b) Show that f is continuous only at ½. (Hint: Let x, be sequence in [0,1] converging to ½. Show that f(x) converges to f(1/2). If the sequence x, converges to a number other than ½, what can be said about f(x)?)

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