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  • explain solution RD Sharma class 12 chapter 8 Continuity exercise Fill in the blanks question 20 maths

explain solution RD Sharma class 12 chapter 8 Continuity exercise Fill in the blanks question 20 maths

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Answer:All integer points

Hint: f(x) is discontinuous when f(x) is not defined

Given: f(x)=\frac{1}{x-[x]}

Solution:

            f(x)=\frac{1}{x-[x]}

            \left [ x \right ] is discontinuous at all integer points

            x-\left [ x \right ] is discontinuous at all integer points

            \frac{1}{x-\left [ x \right ]} is discontinuous at each integer value of x

            All integral points, f(x) is discontinuous

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