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Discuss the continuity of the function `f(x)={x/(|x|),x!=0 ,x=0`

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Given function `f(x)={x/(|x|),x!=0` and `,x=0`
LHL at `x=0`,
`=lim_(x->0^-)f(x)`
` =lim_(h->0)f(0-h)`
`=lim_(h->0)f(-h)`
`=lim_(h->0)-h/|-h|`
`=lim_(h->0)-1`
...
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