8. Each of the statements below is either true or false; state which it is. If the statement is true, give an argument why it must hold. If it is false, give a counterexample. (a) If f(z) and g(z) both have poles at zo, then f(z)+g(z) has a pole at zo. (b) If f(z) and g(z) both have poles at zo, and the residue of both and g at zo is nonzero, then the product f(z)-g(z) also has a pole at zo with a nonzero residue.