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Test the continuity of the following fun...

Test the continuity of the following function at the origin: `f(x)={(|x|)/x ;x!=0 1;x=0`

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LHL at `x=0,`

` lim _{x rightarrow 0^{-}} f(x)=lim _{h rightarrow 0} f(0-h)=lim _{h rightarrow 0} f(-h)`

` therefore lim _{h rightarrow 0} frac{-h}{|-h|}=lim _{h rightarrow 0} frac{-h}{h}=-1`

RHL at `x=0,`

` ...
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