I would like help with these 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. x -+ a c. lim f (x) =3 d. Not enough information (5pts) Suppose lim f (x) =8 and lim f (x) = -8. What is lim f (x) ? x - 2 x -+ 2 + x -> 2 a. Could be 8 b. Could be -8 c. Does not exist d. Not enough information 5. (5pts) Suppose lim f (x) =4, lim g(x) =0. What is lim J (X) , x-4 g (x ) a. Does not exist b. Undefined C. Positive or negative infinity d. Not enough information 6. (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