Camp exam problem 2

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*Mahi*
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Camp exam problem 2

Unread post by *Mahi* » Fri Nov 04, 2011 11:30 pm

2. Let $a;b$ be real numbers. Prove that,
\[\frac{|a+b|}{1+|a+b|} \leq \frac{|a|}{1+|a|} + \frac{|b|}{1+|b|}\]
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Re: Camp exam problem 2

Unread post by nafistiham » Sat Nov 05, 2011 1:22 am

just simplified till the end and then the simple propositions.
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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