Tuesday, 20 July 2021

Find the number of positive integers less than \(1000\) that can be expressed as the difference of two integral powers of \(2.\)
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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, ...