1. Let $a;b;c$ be positive real numbers. Prove that,
\[abc(a+b+c) \leq a^3b + b^3c + c^3a\]
Camp exam problem 1
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Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Re: Camp exam problem 1
Seems like this was my $300^{th}$ post in this forum... 
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Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
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nafistiham
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Re: Camp exam problem 1
@mahi, $100$ out of those $300$ were done just in the last month 
which was your $10^{th}$ month 
in the forum.really 
which was your $10^{th}$ month in the forum.really \[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
Re: Camp exam problem 1
I use the theorem-1.6.1(A helpful inequality).
হার জিত চিরদিন থাকবেই
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........
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Nadim Ul Abrar
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