Question 12
(POL 1) If $a$ and $b$ are arbitrary positive real numbers and $m$ an integer, prove that
$$\left(1+\frac ab\right)^m+\left(1+\frac ba\right)^m\ge2^{m+1}.$$
$$\left(1+\frac ab\right)^m+\left(1+\frac ba\right)^m\ge2^{m+1}.$$
IMO 1968 — Shortlist problems Question 12
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