= \frac{\sqrt{x-1}}{x}+\frac{\sqrt{y-4}}{y}+\frac{z-9}{z}
Áp dụng BĐT cauchy ta có
\sqrt{x-1}\leq \frac{x-1+1}{2}=\frac{x}{2}\Rightarrow \frac{\sqrt{x-1}}{x}\leq \frac{1}{2}
\sqrt{y-4}=\frac{1}{2}.\sqrt{(y-4).4}\leq \frac{1}{2}.\frac{y-4+4}{2}=\frac{y}{4}\Rightarrow \frac{\sqrt{y-4}}{y}\leq...