Monday 26 August 2019
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Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, &a...
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Show that if x, y, z are positive integers, then ( xy + 1)( yz + 1)( zx + 1) is a perfect square if and only if xy + 1, yz + 1, zx ...