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Question Number 61532 by maxmathsup by imad last updated on 04/Jun/19

prove that   (((a+b)^n )/(a^n  +b^n )) <2^(n−1)      ∀ n>1    (n natural)

$${prove}\:{that}\:\:\:\frac{\left({a}+{b}\right)^{{n}} }{{a}^{{n}} \:+{b}^{{n}} }\:<\mathrm{2}^{{n}−\mathrm{1}} \:\:\:\:\:\forall\:{n}>\mathrm{1}\:\:\:\:\left({n}\:{natural}\right) \\ $$

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