Saturday, 12 October 2013

base 11 or 9

A three digit number in base 11, when expressed in base 9, has its digits reversed.
Find the number.
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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, ...