Question

show that 2^n>n³ for n≥10 by mathmaticalb induction method​

Answer 1

I need to prove that

2n>n3∀n∈N,n>9.

Now that is actually very easy if we prove it for real numbers using calculus. But I need a proof that uses mathematical induction.

I tried the problem for a long time, but got stuck at one step - I have to prove that:

k3>3k2+3k+1