Question

The function f(x) = [x], where [x] denotes the greatest integer function, is continuous at ______.

Options

• 4

• – 2

• 1

• 1.5

Answer 1

The function f(x) = [x], where [x] denotes the greatest integer function, is continuous at 1.5.

Explanation:

The greatest integer function [x] is discontinuous at all integral values of x.