3^n < n! for all n > 6 with n ∈ N.
mathematical induction to prove these?
Hello, captainjapan!
Verify the base case . . .Prove by induction: .
. . . . . True
Assume
Multiply both sides by 3: . .[1]
. . Since
. . Multiply by .[2]
Combine [1] and [2]: .
. . Therefore: .
And we have proved . . . The inductive proof is complete.