The number of discontinuity of the greatest integer function f(x)=[x], x∈ (- (7/2) , 100) is equal to

Question

The number of discontinuity of the greatest integer function f(x)=[x], x∈ (- (7/2) , 100) is equal to (A) 104 (B) 102 (C) 101 (D) 103

Tardigrade Admin · Accepted Answer

Given, f(x)=[x], x∈ (- 3.5 , 100) As we know greatest integer is discontinuous on integer values. In given interval, the integer values are (.-3, -2, -1, 0, ldots , 99.) ∴ Total numbers of integers are 103.

Q. The number of discontinuity of the greatest integer function $f (x) = [x], x \in (- \frac{7}{2}, 100)$ is equal to

104

102

101

103

Given, $f (x) = [x], x \in (- 3.5, 100)$
As we know greatest integer is discontinuous on integer values.
In given interval, the integer values are
$(- 3, - 2, - 1, 0, \dots, 99)$
$∴$ Total numbers of integers are 103.

Q. The number of discontinuity of the greatest integer function f(x)=[x],x∈(−27​,100) is equal to

104

102

101

103

Given, f(x)=[x],x∈(−3.5,100) As we know greatest integer is discontinuous on integer values. In given interval, the integer values are (−3,−2,−1,0,…,99) ∴ Total numbers of integers are 103.

Q. The number of discontinuity of the greatest integer function $f (x) = [x], x \in (- \frac{7}{2}, 100)$ is equal to

Given, $f (x) = [x], x \in (- 3.5, 100)$
As we know greatest integer is discontinuous on integer values.
In given interval, the integer values are
$(- 3, - 2, - 1, 0, \dots, 99)$
$∴$ Total numbers of integers are 103.