I would like help with the homework questions please and thank you.

(5pts) Choose the correct option. f(x) may or may not be continuous. If lim f(x) =3 and lim f(x) =3 x + a then ... a. f(a) = 3 b. lim f (x) may or may not exists. c. lim f(x) =3 x ->a d. Not enough information (5pts) Suppose lim f(x) =8 and lim f(x) =-8. What is lim f (x) ? x - 2 x -2 a. Could be 8 b. Could be -8 c.I Does not exist d. Not enough information (5pts) Suppose lim f (x) = 4, lim g(x) =0. What is lim / (X) , x-4 g (x) a. Does not exist b. Undefined C. Positive or negative infinity d. Not enough information (5pts) Suppose f (x) is continuous and that f(-5) = 2, f(0) =-3, f(3) =2, f(7) =-4, f(8) =-1. Pick the smallest interval where f (x) = 0 is guaranteed to have a solution. a. [-5,0] b. [0,3] C. [3, 7] d. [7,8] e. Not enough information