Directions: Do the following Task 1. Complete the following tables of values to investigate (10 pts.) lim x2 - 2x + 4 x-1 f(x) I f(x) 0.5 1.6 0.7 1.35 0.95 1.05 0.995 1.005 0.9995 1.0005 0.99995 1.00005 hence, lim x2 - 2x + 4 = x-1 2. Consider the function f(x) whose graph is shown (10 pts.) Determine the following: . lim f(x) = X-3 -45 b. lim f(x) = -3-- -2 - c. lim f(X) = -1--- d. limf(x) = -3 -2 e. limf(x) = r+5 3. Consider the function fex) =whose graph is shown below.-2 What can be said about lim f(x) Does it exist or not? Why? (10 points) X-+0 Directions: Assume the following. (10 points) lim f (x) = . PIw lim g(x) = 12, and lim h(x) = -3 Compute the following limits: a. lim(4 . f(x)) x-c b. lim(V12 . f (x)) c. lim(g(x .) - h(x)) x-c d. lim (g(x) +h(x)) f(x)