Tuesday, 29 October 2013

The product N of three positive integer

The product N of three positive integers is 6 times their sum and one of the integers is the sum of
the other two. find the sum of all possible values of N.
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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, ...