Largest Inequality Bound
Algebra
Level
5
What is the largest integer \(N\) such that \( \frac {(1-x^2)(1-y^2)(1-z^2) } {x^2 y^2 z^2} > N \), as \(x, y\) and \(z\) range over all positive reals subject to \(x + y + z < 1 \)?
by
Calvin Lin