Question

The inequality \( n!>2^{n-1} \) is true for

• A. for all \( n \in \mathbb{N} \)
• B. for all \( n>1 \)
• C. for all \( n>2 \)
• D. None of the above

Hint:

To verify inequalities involving factorials, check small values of \( n \) and observe the growth rates of the functions.

Answer 1

The Correct Option is C