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[skyfallblack2]

Tìm GTNN của $\frac{\sqrt{x-2011}}{x+2}+\frac{\sqrt{x-2012}}{x}$

[megamewtwo]

ta có : $\frac{\sqrt{2013\left ( x-2011 \right )}}{\left ( x+2 \right )\sqrt{2013}}

$\leq$\frac{\left ( x+2 \right )}{2\sqrt{2013}\left ( x+2 \right )}= \frac{1}{2\sqrt{2013}}$

$\frac{\sqrt{2012\left ( x-2012 \right )}}{\sqrt{2012}x}$\leq$ \frac{x}{2\sqrt{2012}x}= \frac{1}{2\sqrt{2012}}$

$\Rightarrow p$\leq$ \frac{1}{2\sqrt{2013}}+\frac{1}{2\sqrt{2012}}$

mình nhầm giá trị lớn nhất i

Edited by megamewtwo, 02-06-2014 - 16:11.