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28.8 Let f(x)=x^2 for x rational and f(x) = 0 for x irrational. (a) Prove f...

28.8 Let f(x)=x^2 for x rational and f(x) = 0 for x irrational.
(a) Prove f is continuous at x = 0.

(b) Prove f is discontinuous at all x not= 0.

(c) Prove f is differentiable at x = 0.Warning: You cannot simply claim f '(x)=2x.

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