Saturday, 23 November 2013

natural numbers m & n

There are natural numbers m & n. Find all the fractions m/n whose denominator is smaller than the numerator by 16, the fraction itself is smaller than the sum of the trebled inverse and 2, and the numerator is not greater than 30.
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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, ...