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provide solution for RD Sharma maths class 12 chapter 8 Continuity exercise  Fill in the blanks question 14

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Answer: 0,1,-1

Hint: Function is discontinuous where denominator is zero

Given: f(x)=\frac{1}{\log |x|}


            \log x is not defined at x=0.

            So,x=0, f(x) is discontinuous.

               \log \left | x \right |=0 , when \left | x \right |=1

             i.e. x=1,-1

            When x=1,-1 , value of \frac{1}{\log \left | x \right |}=\infty

            x=1,-1 act as vertical asymptotes

            Therefore,f(x) is discontinuous at x=-1,0,1


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