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3. Recall that [:3] denotes the whole part of 3:, Le. the greatest integer number not exceeding 3:. Dene h(93) = [cosm + sin 93]
3. Recall that [:3] denotes the whole part of 3:, Le. the greatest integer number not exceeding 3:. Dene h(93) = [cosm + sin 93] a) Let p = 7r/2. Which of the following limits exist: lim Mat), lim h($), lim Mm)? map m>p+ 34p b) Show that h is a periodic function with period 2w. c) List and classify all the points p in the interval [0, 271'] where h is not continuous. You should indicate clearly whether the limit lim 11(3) exists or not1 whether 11 has a left or a right limit at these points, whether mw the value f (p) equal to one of the side limits
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