Chứng Minh A= \frac{1}{\5^2} + \frac{1}{\6^2} + \frac{1}{\7^2} +.....+ \frac{1}{\2007^2} > \frac{1}{5}
Chứng minh [tex]A= \frac{1}{5^2} + \frac{1}{6^2} + \frac{1}{7^2} +.....+ \frac{1}{2007^2} > \frac{1}{5}[/tex]
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[tex]A= \frac{1}{5^2} + \frac{1}{6^2} + \frac{1}{7^2} +.....+ \frac{1}{2007^2} > \frac{1}{5}> \frac{1}{5^2}+\frac{1}{6.7}+\frac{1}{7.8}+..+\frac{1}{2007.2008}=\frac{1}{25}+\frac{1}{6}-\frac{1}{7}+..+\frac{1}{2007}-\frac{1}{2008}=\frac{1}{25}+\frac{1}{6}-\frac{1}{2008}=\frac{1}{25}+\frac{4}{25}-\frac{4}{25}+\frac{1}{6}-\frac{1}{2008}=\frac{1}{5}+..> \frac{1}{5}[/tex]