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Please show the answers clearly, thank you! (6 pts, 3 points each) Suppose we have a map f : IR ) R. and a point

Please show the answers clearly, thank you!

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(6 pts, 3 points each) Suppose we have a map f : IR ) R. and a point x with a forward limit set 00(3). Determine whether the following statements are true or false. Remember. to answer 'true' you need a proof. to answer 'false' you need a counterexample. Pictures almost always help. (a): w(w) can only contain a fixed point sink y if 00(3) contains no points other than y. (b): Assume w($) is a chaotic set. w($) can not contain a fixed point source

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