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
B
7
C
13
D
2

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 atinteger point so, it will be discontinous at-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9Mathematics

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