解答:换元法设t=x-2>0x=t+2y=2x+1/(x-2) =2(t+2)+1/t =2t+1/t+4≥2√2+4当且仅当 t=√2/2,即x=2+√2/2时等号成立所以 2x+1/x-2的最小值是 4+2√2
2x+1/x-2=2+5/(x-2)结果是2
求极限,最小值是2