In this problem, 24 x < -1 lim f(x) 2 (a) Give the domains of f(r) and g(x) as a union of intervals. Domain of f(x) and g(x) = g(h) = Domain of g(x) (b) In the table below, write to the right of each limit the corresponding value. If a limit does not exist, write DNE. 24-14 (2+ h) - 4 h lim g(x) 1111 In this problem you will analyze the two functions below. lim g(x) (c) Is any of f or g continuous? For each function, explain why or why not. f(h) = 2-r (2+h) -4 h 0 C (a) Find lim g(h). (b) What kind of discontinuity does g(h) have at h=0? (c) Find the value of c that makes f(h) continuous everywhere. * 2-1 h = 0