Q7 / 93 · NTA Abhyas (JEE Main) 2020 · Mathematics · Continuity and Differentiability

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

A
104
B
102
C
101
Correct answer
D
103

Solution

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.

Hence, the correct answer is option: 'D'.

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