WEEK1 LIMITS I. EVALUATE THE LIMIT, IF IT EXISTS. X'+x - 6 x + 5x + 4 9 -t x3- 1 1. lim X -Z x - 2 2. lim X- 4 X2 + 3x - 4 1 9 3 - t 4. x 1 x2 - 1 5. 1 0 t t 2 + t II. FIND THE LIMIT , IF IT EXISTS. IF THE LIMIT DOES NOT EXIST, EXPLAIN WHY. 2x + 12 1. lim X- -6 X + 6 Ill. Prove that lim x'cos - = 0. x-0 X IV. Let 4 - x2 if x = 2 f (x) = x - 1 if x > 2 (a) Find lim, +2- f (x) and lim, +2+ f (x). (b) Does lim , .2 f (x) exist