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The set of points of discontinuity of t...

The set of points of discontinuity of the function `f(x)=|sin x|` is

A

`{n pi : n in I}`

B

`{(2n+1) (pi)/(2): n in I}`

C

`phi`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
As tge function | sin x | is defined for all real x.
therefore the function f(x) is continuous for all real x.
Hence, the required set is `phi` (empty set).
Alternate Method

It is clear the figure that there is no break point , so it continuous everywhere.
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