Answer
$S_{2}$ = $\frac{3}{2}$
$S_{4}$ = $\frac{41}{24}$
$S_{6}$ = $\frac{1237}{720}$
Work Step by Step
$S_{2}$ = $\frac{1}{1!}+\frac{1}{2!}$ = $\frac{3}{2}$
$S_{4}$ = $\frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}$ = $\frac{41}{24}$
$S_{6}$ = $\frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}+\frac{1}{5!}+\frac{1}{6!}$ = $\frac{1237}{720}$
