怎知(b/a)+(a/b)≥2?且需要ab>0?
问题描述:
怎知(b/a)+(a/b)≥2?且需要ab>0?
答
ab>0
=>a/b>0.b/a>0,
则
(b/a)+(a/b)≥2√(b/a)(a/b)=2
(均值不等式)