The Number Of Points At Which The Function f(x) = 1/log |x| Is Discontinuous Is

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Question

The number of points at which the function f(x) = 1/log |x| is discontinuous is

easy

Solution

Correct option is

The function log |x| is not defined at x = 0, so x = 0 is a point of discontinuity. Also, for f (x) to be defined, log, that Hence 1 and –1 are also points of discontinuity. Thus there are three points of discontinuity of f (x).