3. (10 Marks) Suppose that the power series 2:020 our\" and 22:0 bum\" converge in some non-trivial interval centered at zero, and consider functions f (1:) = 2:020 one?\" and 9(3) = 22:0 bum\". Prove (without using l'Hopital'S Rule!) that if 1min \"3) = liningtv) = U, f'w) = 93(0) = U and g\"() = 2023, 17} 17} the\" f( ) f'( ) Ef = 535 911:)