Question: The following problem concerns the Extreme 1Value Theorem (a) Let f : [(1. b] > R be a continuous function. Prove that f achieves its

The following problem concerns the Extreme 1Value Theorem (a) Let f : [(1. b] > R be a continuous function. Prove that f achieves its maximum. {b} Find an example of a bounded function f : [0, 1] > R that has neither an absolute maximum nor an absolute n1inin111m.. (c) Explain why your answer to part (b) does not contradict the Extreme 1Value Theorem

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