Problem:Prove that where

What I have so far:

1) Prove for

which is true.

2) Assume for

assumed true

3) Assume for

not sure what to do

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How can I continue proving this, because this is where I get stuck on actually proving the inequality is true via induction.

Also, have I made any mistakes so far? If so, then what and how could I fix them.

Thanks for any help, BG