NTA Abhyas JEE Main2020MathematicsContinuity and DifferentiabilityPractice

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

Options

A104
B102
C101
D103

Correct answer

D. 103

Step-by-step solution

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.

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