PLEASE SHOW ALL YOUR DO NOT USE RULES OF DIFFEREN IOPITAL'S RULE Use the graph to evaluate the one-sided limits, Does the limit exist ? Why? lim ((x) - lim f(x) - Let f(x) 2x - 1 1x - 4x + 8 3 x 2 3 Does the lim f(x) exist ? Explain why . X-35) Evaluate: lim cos (X) ( one way is to multiply and divide by the conjugate ) Find the following limits : Omma) lim X+1 2 b) lim VX - 1 3 -- 3Find the limits : 3) lim cos LX 3 b) lim 3 (1 - cos x ) find the limits : X - sin (x) 4) a) lim bl lim sin (2x ) x -0Find the limit. lim 16:12 8) Given : f ( x ) - (x - 1) a) Find the instantaneous rate of change of f with respect to x b) Find the equation of the tangent line at x -19) Given the area of the circle, A - n r2 Find the instantaneous rate of change of the area with respect to the radius. b) Evaluate the instantaneous rate of change when r = 3 units. 10) The position function S (t ) - - 4.9 t + 200 gives the height in meters of an object that has fallen for t seconds from a height of 200 meters. a) Find the instantaneous rate of change of the position with respect to the time, t. b) Part ('a) gives the velocity of the object in meters per second, m/s. Find the velocity of the object when t 3 seconds