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Question

 Let $$f(x)=[2x^{3}-6]$$ when $$[x]$$ is greatest integer less than or equal to $$x$$ then the number of points in (1,2) where $$f$$ is discontinuous is


A
5
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B
7
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C
13
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D
2
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Solution

The correct option is B 13
$$f(x)=-4$$  when $$x=1$$
$$f(x)=10$$  when $$x=2$$
So, it is step function so it will be discontinous at
integer point so, it will be discontinous at
-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Mathematics

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