Question 8

If $y = \dfrac{1}{3} + \dfrac{1\cdot 3}{2!}\left(\dfrac{1}{3}\right)^2 + \dfrac{1\cdot 3\cdot 5}{3!}\left(\dfrac{1}{3}\right)^3 + \cdots$ prove that $y^2 + 2y - 2 = 0$.