3. Recall that [3:] denotes the whole part of at, Le. the greatest integer number not exceeding :3. a) Let h(a:) = [cosx + sin :r]. Show that h is a periodic function and nd its period T. b) Let p = 7r/ 2. Which of the following limits exist: lim f (m), lim Mm), lim Mat)? mm' m>p+ 174*? c) List and classify all the points 13 in the interval [0, T] Where h is not continuous. You should indicate clearly whether the limit li_1>n h(:c) exists or not, Whether h has a left or a right limit at these points, whether w p the value f (1)) equal to one of the side limits