Jump to content

Photo

Chứng minh $\frac{x}{(x+2013)^{2}}\leq \frac{1}{8052}$


  • Please log in to reply
1 reply to this topic

#1
Amasa

Amasa

    Binh nhất

  • Thành viên mới
  • 28 posts

Cho $x\neq -2013$. Sử dụng bất đẳng thức Cauchy, chứng minh rằng:
$\frac{x}{(x+2013)^{2}}\leq \frac{1}{8052}$


Edited by Amasa, 01-08-2017 - 10:05.


#2
ngoisaouocmo

ngoisaouocmo

    Binh nhất

  • Thành viên
  • 36 posts

$\Leftrightarrow \frac{1}{x+\frac{2013^2}{x}+4016}\leq \frac{1}{ 2 \sqrt{2013.2013}+4016}=\frac{1}{8052}$




Politics is for the present, but an equation is for eternity.

Albert Einstein




:wub:  :wub: 


 





1 user(s) are reading this topic

0 members, 1 guests, 0 anonymous users