Examine the continuity of the following ...

Examine the continuity of the following functions at indicated points.
`f(x)=(g(x)-g(1))/(x-1)atx=1`
where`g(x)=|x-1|`

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g(x)=|x-1|
Then g(1)=|1-1|=0
Now `f(1)=(g(1)-f(1))/(1-1)=0/0`
which we cannot determine.
Hence f(x) is discontinuous at x=1

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