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The set of points of discontinuity of the function \(1 / \log |\mathrm{x}|\) is -
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\(\{-1,0,1\}\)
Let \(f(x)=\frac{1}{\log |x|}\)
The points of disconinuity of \(f(x)\) are those points where \(f(x)\) is undefined or infinite. It is undefined when \(x=0\) and is infinite when \(\log |x|=0,|x|=1\), i.e. \(x= \pm 1\).
\(\therefore \quad\) Set of points of discontinuity \(=\{-1,0,1\}\).
The points of disconinuity of \(f(x)\) are those points where \(f(x)\) is undefined or infinite. It is undefined when \(x=0\) and is infinite when \(\log |x|=0,|x|=1\), i.e. \(x= \pm 1\).
\(\therefore \quad\) Set of points of discontinuity \(=\{-1,0,1\}\).
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