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Points of Discontinuity

The number of...

Question

The number of points at which the function $f (x) = \frac{1}{(x - [x])}$ is not continuous is

A

1

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B

2

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C

3

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D

none of these

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Solution

The correct option is D none of these
The greatest integer function becomes discontinuous at every integer value of $x$ . So, the whole function will become discontinuous at each integer value of $x$ .
It has infinite number of points of discontinuity.

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