Question

4. (24 pts) if x < 0 and x # - 2 Let g(x) = x + 2 I e-*+C if x 20. (I) Evaluate the limit. Show your work. (Note: possible answers may include - or .) (a) (4 pts) lim g(x) = ; (b) (4 pts) lim g(x) = 9 (X) = *+-2+ (c) (2 pts) lim g(x) (a) (2 pts) lim x++00 g(x) = X -00 a m u i c Orc = Хva x+ ) C+C =0tr X (II) (2 pts) Find (the equations of) all vertical asymptotes. X=-2 (III) (4 pts) Find (the equations of) all horizontal asymptotes. 451 4= C (IV) (6 pts) Determine the value of the constant c for which lim g(x) exists. x+0