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On an operation

Posted: Mon Sep 25, 2017 10:22 pm
by Tolaso J Kos
Define

\begin{equation} x* y = \frac{\sqrt{x^2+3xy+y^2-2x-2y+4}}{xy+4} \end{equation}

Evaluate

$$\mathcal{V} = \left ( \left ( \cdots \left ( \left ( 2007 * 2006 \right )*2005 \right )* \cdots \right ) * 1 \right )$$