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Math · Advanced Math
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QUESTION 1 (5 pts). Let (2 sin 1) if z t 0 f(z) 10 if z 0. (a) Prove that f is differentiable on R. b) Prove that f has an absolute minimum at r 0. (c) Prove that f takes on both positive and negative values in every neighbourhood of 0. That is, prove that, for every E 0, f takes on both positive and negative values in the interval (-E,E).

I have A) done, I just need help with b) and C)

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