InterviewSolution
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InterviewSolution
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Find all points of discontinuity of f, where f is defined by`f(x)={(|x|)/x , ifx!=0 0, ifx=0` |
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Answer» We know that the identity function x is continuous and the modulus function |x| is continuous . ltrgt So, the quotient funcation ` x/|x|` is continuous at eath ` x ne 0` It has already been proved that f(x) is discontinuous at x=0. Hence, the given function is continuous at each point, except at x=0. |
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