Question: (a) Let f: R R be a smooth function. Let p be a periodic point with multiplier 0. Prove that there is some point

(a) Let f: R R be a smooth function. Let p be a periodic point with multiplier O. Prove that there is some

(a) Let f: R R be a smooth function. Let p be a periodic point with multiplier 0. Prove that there is some point in the orbit of p that is a critical point. (b) Use this fact to find a member of the logistic family that has an attracting 3-cycle. Use Wolfram Alpha.

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