1.

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

Answer»

Solution :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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