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

Question

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

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, text ...,99) ∴ Total number of integers are 103.

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

104

100

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 $(- 3, - 2, - 1, 0, ..., 99) < b r >$
$∴$ Total number of integers are 103.

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

104

100

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)<br> ∴ Total number of integers are 103.

Q. The number of discontinuities 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 $(- 3, - 2, - 1, 0, ..., 99) < b r >$
$∴$ Total number of integers are 103.