Sunday, 13 October 2013

all pairs (m, n)

 Find all pairs (m, n) of positive integers such that m(n + 1) + n(m − 1) = 2013
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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, ...