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The number of points at which the function f(x) = 1x-[x] is not continuous is ______. - Mathematics

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Question

The number of points at which the function f(x) = `1/(x - [x])` is not continuous is ______.

Options

  • 1

  • 2

  • 3

  • None of these

MCQ
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Solution

The number of points at which the function f(x) = `1/(x - [x])` is not continuous is none of these.

Explanation:

As x – [x] = 0, when x is an integer so f(x) is discontinuous for all x ∈ Z

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Chapter 5: Continuity And Differentiability - Solved Examples [Page 103]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 5 Continuity And Differentiability
Solved Examples | Q 26 | Page 103
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