Let$f(x) = \lbrack x^{3} - x\rbrack$, where $\lbrack x\rbrack$the greatest integer function is. Then the number of points in the interval (1, 2), where function is discontinuous is

Question

Dr. Abubacker · Accepted Answer

(c)
Given, $f(x) = \lbrack x^{3} - 3brack$
Let $g(x) = x^{3} - x$ it is in increasing function
$	herefore\ \ g(1) = 1 - 3 = - 2$
and $g(2) = 8 - 3 = 5$
Here, $f(x)$ is discontinuous at six points

Q. Let$f(x) = \lbrack x^{3} - x\rbrack$, where $\lbrack x\rbrack$the greatest integer function is. Then the number of points in the interval (1, 2), where function is discontinuous is

Explanation

Reviewed by Dr. Abubacker

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