Friday, 11 April 2014

real analysis - Differentiable and Not Continuous

Find a function $f\colon\mathbb{R}\to\mathbb{R}$ that is differentiable at one point and not continuous at any other point.

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real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

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}...