Sunday, 13 October 2013

three perfect squares

If n is a positive integer greater than 1 such that (3n + 1) is perfect square, then show that (n + 1) is the sum of  the three perfect squares.
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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, ...