Higher Secondary 2011
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- Location:Sylhet,Bangladesh
Let $f$ be an injective function and $f: \mathbb R^{+} \mapsto \mathbb R^{+}$. $f(1)=2$ and $f(x+\frac{1}{f(y)})=\frac{f(x)f(y)}{f(x)+f(y)}$ for all positive real $x$ and $y$. Find $f(2012)$.
Re: Higher Secondary 2011
Outline:
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Nur Muhammad Shafiullah | Mahi
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Nur Muhammad Shafiullah | Mahi
Re: Higher Secondary 2011
I think this post should be in Divisional Olympiad forum. Was this posted before?
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"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes