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Prove that f(x)={((x-|x|)/x, x!=0),( 2 ,...

Prove that `f(x)={((x-|x|)/x, x!=0),( 2 , x=0):}` is discontinuous at `x=0` .

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Given `f(0) = 2`
Let `f(0)^- ≠ f(0)^+`
L.H.L`=lim_(x->0-)(x-|x|)/x`
`=>lim_(h->0)((0-h)-|0-h|)/(0-h)`
`=>lim_(h->0)((-h)-|-h|)/(-h)`
`=>lim_(h->0)(-2h)/(-h)` ...
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