Is there a function $f$: $\mathbb R\to \mathbb R$ such that $f$ is differentiable everywhere but $f'$ is discontinuous everywhere?
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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