Show that if the sum of the fifth powers of five integers is divisible by 25
then one of the original integers is divisible by five.
then one of the original integers is divisible by five.
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, ...
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