Prove the following theorem.
Theorem. For all integers n greater than or equal to 1,
n! +n >= 2^n
since 4! > 2^4
n! > 2^n for n>3
so, all you need to show now is that
n!+n ≥ 2^n for n=1,2,3
Theorem. For all integers n greater than or equal to 1,
n! +n >= 2^n
n! > 2^n for n>3
so, all you need to show now is that
n!+n ≥ 2^n for n=1,2,3