Tuesday, 27 July 2021

Prove that any integer has a multiple consisting of all ten digits \[\{0,1,2,3,4,5,6,7,8,9\}.\] Note: Any digit can be repeated any number of times
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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, ...