If n is a natural number,
prove that the number (n + 1)(n + 2) ................. (n + 10) is not a perfect square.
prove that the number (n + 1)(n + 2) ................. (n + 10) is not a perfect square.
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, &a...