1. Evaluate the limit, if it exists; otherwise give the reason why the limit does not exist. (a) lim cos x (b) lim V4x' + x - 2x) 2. (a) Find the horizontal and vertical asymptotes of the graph of the function V5x- +7 f ( x ) = 2x -3 aX (b) Find the values of a and b for a rational function of the form y - with a x + b vertical asymptote at x = 2 and a horizontal asymptote at y - -5 3. The cost (in dollars) of producing x units of a certain commodity is C(x) =100 +50x -0.02x' (a) Find the average rate of change of C with respect to x when the production level is changed from x =100 to 105 (b) Find the instantaneous rate of change of C with respect to x when x - 100 and interpret the value of it