The general from for a maclaurin series is the nth derivative times x to the nth power divided by n factorial: [tex] \frac{f(0)}{0!}x^{0}+ \frac{f'(0)}{1!}x^{1}+ \frac{f''(0)}{2!}x^{2}+ \frac{f'''(0)}{3!}x^{3} \\ \\
7+ 3x+ \frac{13}{2}x^{2}+ 2x^{3}
[/tex]
