4. Zeke thinks (incorrectly!) that, if lim g(x) = 0, then lim J (2) x-a g(x) must be either co or -co. In this problem, you'll come up with several counterexamples. (a) Find functions f(x) and g(x) so that lim g(x) = 0 and lim = -3. x-1 g(x) (b) Find functions f(x) and g(x) so that lim g(x) = 0 and lim J (2) = 0. x-1g(x) 2 (c) Find functions f(x) and g(x) so that lim g(x) = 0, lim J() = 0% and lim f(x) x-1- g(x) = - 00. x-1+ g(x)