Does there exist a subsequence $n_k$ where $1\leq k < \infty $ of the sequence of natural numbers, such that the sequence $\sin n_k$ is convergent?
How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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