Question

What does the greatest integer function \[f(x)=[x]\] give?

Options

• The reciprocal of \[x\]

• The greatest integer less than or equal to \[x\]

• The least integer greater than or equal to \[x\]

• The integer nearest to \[x\]

Answer 1

The greatest integer function assigns the greatest integer that is less than or equal to \[x\]. It is continuous at non-integers and discontinuous at every integer.