1. For each of the following, find: a. lim f(x) b. lim f(x) c. lim f(x) Show your work/justify your answers. 3x +1 x2 a. b. C.sin - 2JT D. f (x ) = 2 3 2 0 = 3 X 2 3 Answer: a. b. C.2. Sketch a graph of each function described. A. A function that is continuous everywhere except at X=4. At X=4 the function is continuous from the right but not continuous from the left. B. A function that has a removable discontinuity at X: -2 and an infinite discontinuity at X=3, but is continuous elsewhere. C. A function such that: lim f(x) = -2, lim f(x) = 3, f(1) =3, f(2) =1, f(-2) =5, lim f(x) =0% D. Graph f(x) = Vx-2 x23 and determine if f(x) is continuous at 3. Use limits Ix-11 x