Compute \(s_n\) and compare it to \(n!\) if

1. \(n = 4\)

\(4! = 24\) and \(s_4 = 23.5061751\)

2. \(n = 6\)

\(6! = 720\) and \(s_6 = 710.0781846\)

3. \(n = 8\)

\(8! = 40320\) and \(s_8 = 39902.3954527\)