Share
Explore BrainMass

Mathematical Induction

Use mathematical induction to prove that the given statement is true for all positive integers n.

n! <= n^n

Solution Preview

Proof:
If n=1, n!=1!=1 and 1^1=1. So n!<=n^n holds for n=1.
Suppose ...

Solution Summary

Mathematical induction is employed to provide a proof.

$2.19