10points 1. Evaluate: (a) lim (24 + 3x2 - T) (b) lim 2 2 - 2x x-2 x+2 14points 2. Evaluate the following limits. 202 - 1 lim x-1x2 +x - 2 (b) lim Va+1-2 x-+3 2 - 3 10points 3. Evaluate the following limits. (a lim a - 323 x-+0o x3 - 6x + 2 lim 23 - 202 + 20 - 1 5x4 - 1 14points 4. If f (20) = 202 +3 (a) Find f(ath) - f(x) and simplify. h (b) Using your result in part (a) find lim J( + h) - f(x) h -+0 h 10points 5. Suppose that x months from now, the price of a certain model of calculator will be P dollars per unit where: 30 P(2) = 40+ x+1 (a) What will be the price 5 months from now? (b) What will happen to the price in the long run? (as a + co.)