EXERCISE 1: Except if explanation is required, give a direct answer to the following questions. The answer points will come only from 1 to Te, even if more points can sometimes answer the question. X 2 Q a/ Does the limit exist? If exists, give its value, if fails to exist say quickly why? (i) lime-+za f(I) (ii) lim +27 f(I) (iii) lime-zA f(I) OK b/ At which points f is at least left-hand continuous? c/ At which points f is at least left-hand differentiable? d/ Which points are critical points? Singular points? Stationary points? OFe/ At which points does f reach absolute maximum value and absolute minimum value? Of/ At which points does f have local maxima? 0 8/ At which points does f have local minima?EXERCISE 2: Let a function f, with the following characteristics. In last line of the table write all the information you know about the shape of the curve of f then graph its shape. Dj = [-3, 2) U (2,9] -3 -1 0 2 3 5 7 f' (x) + + 0 + 0 0 0 - - 0 - - 0 f"(I) + | + 0 - 0 0 0 - + f(x)