I am trying to prove the equation for any integer (k) greater or equal to 0, that
2^(k+1) < (k+3)!
I am not sure how to expand the factorial to show that the equation will always be true?
Any Help Would Be Greatly Appreciated
I understand how to solve each side of the equation, but what I am confused about is how did you determine the factors in your first response, and then how do I compare those two products to show that the one will always be larger than the other?