Does there exist a function $f$ on an open set $G\subset\mathbb{R}^2$ , which $f_x$ and $f_y$ exist everywhere but $f$ is nowhere differentiable in $G$?
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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