Let $a,b$ positive real numbers and $a+b=2$.What is the minimum and maximum value of $\frac{1}{1+a^n}+\frac{1}{1+b^n}$
for any positive integer $n$
Edited
China-1990-1
Last edited by sm.joty on Mon Apr 02, 2012 1:07 pm, edited 1 time in total.
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- Niloy Da Fermat
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Re: China-1990-1
are your infos correct?you know, what is meant by $ a,b $ positive integers and $ a+b=2 $sm.joty wrote:Let $a,b$ positive integers and $a+b=2$.What is the minimum and maximum value of $\frac{1}{1+a^n}+\frac{1}{1+b^n}$
for any positive integer $n$
kame......hame.......haa!!!!
- nafistiham
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Re: China-1990-1
According to the problem the solution is $\frac {1}{4}$ as $a=b=1$
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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- Sazid Akhter Turzo
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Re: China-1990-1
@sm.joty vaia,
There must be a problem in your problem. So, please correct it.
Turzo
There must be a problem in your problem. So, please correct it.
Turzo
Re: China-1990-1
Sazid Akhter Turzo wrote:@sm.joty vaia,
There must be a problem in your problem. So, please correct it.
Turzo
Very sorry for my Typoare your infos correct?you know, what is meant by $a,b$ positive integers and $a+b=2$
This mistake occur because most of the problem related to integers.so.......
Then I think now the problem is ok.
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.........