What is the smallest positive integer for which the inequali

What is the smallest positive integer for which the inequality n!

Solution

1. Putting in

a. 1

1!<((1+1)/2)^1 = 1.

False

b. Putting in b=2

2!<((2+1)/2)^2 = 2.25 True

Therefore, the lowerst smallest positive intefer for which this inequality
is true is 2