\displaystyle\sum_{n = 1}^{\infty}\displaystyle\frac{3^n-2^n}{n!}x^n + \displaystyle\sum_{n = 1}^{\infty}\displaystyle\frac{3^n-2^n}{n!}x^{n+1} + \displaystyle\frac{1}{2}\displaystyle\sum_{n = 1}^{\infty}\displaystyle\frac{3^n-2^n}{n!}x^{n+2}