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Test the continuity of the following ...

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

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`f(x)= frac{x}{|x|}, x ne 0 `

` 1, x=0`

We see that

(LHL at` x=0`)=

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

` ...
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