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The number of points at which the function f(x) = 1log|x| is discontinuous is ______. - Mathematics

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Question

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

Fill in the Blanks

Solution

The number of points at which the function f(x) = `1/(log|x|)` is discontinuous is 3.

Explanation:

The given function is discontinuous at x = 0, ± 1 and hence the number of points of discontinuity is 3

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Chapter 5: Continuity And Differentiability - Solved Examples [Page 106]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 5 Continuity And Differentiability
Solved Examples | Q 37 | Page 106

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