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Show that f(x)={(x-|x|)/(2), w h e nx!=...

Show that `f(x)={(x-|x|)/(2),` w h e n`x!=0` and `2` w h e n`x=0` is discontinuous at`x=0dot`

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`f(x)=(x-|x|)/(2) `
For the continuity at `x=0`
`f(0)=2`
`text { LHL }=lim _{x -> 0} f(x) `
`text{LHL}=lim _{h -> 0} f({0}-h) `
`text{LHL}=lim _{h -> 0} (0-h+|0-h|)/(2)`
`text{LHL} =0`
Now,
...
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