Which one of the discontinuous function at any point-

sin x

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x^{2}

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1 / (1 / 2 x)

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1 / (1 + x^{2})

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Solution

The correct option is B $1 / (1 / 2 x)$
$1 / 1 / (2 x)$ is not defined at $x = 0$
Therefore, it is discontinuous at $x = 0$

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