Calculus

QUESTION 1 (a) Determine the following limits (if it exists) (i) lim (12 -9) 1-+-32x + x2 - 3 (3) (ii) lim 2x+ 2 +1 1-+-00 2x3- 1 + 4 (3) (iii) lim 1-t #+1 1 - Vt (3) tan 8t 1 +0 tan 5t (3) (v) lim I - 9 x-+-3+ |z+3 (4) (b) Use Sandwich theorem to determine the following limit lim k sin COs k (3) 2s +1 if s> 3 (c) Let g (s) = W if 8 = 3 82-1 if s