Monday, 9 May 2016

calculus - Question about discontinuous function with directional derivatives at a points

For a function, if at a point $a$, the function has directional derivatives along some lines, but the function is discontinuous at $a$, does that mean along those lines, the function is continuous, but along some other directions the function is not? What does the graph of such a function look like? Continuous in some direction but discontinuous in others?

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

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