So the easiest way I think is to use binomial theorem.
I've gotten to:
So I guess I essentially have to prove:
nice, though i'm not allowed to use derivatives and such yet, we're only allowed to use inequality propositions, order axioms for R, field axioms, absolute value propositons. I'm basically taking a proofs class, and the book even says I'm supposed to use binomial theorem.
and I guess I forgot to mention it's
I had thought about just doing:
then doing induction on the statement though I haven't made much headway.