Question

The set $A=\{x:x=\frac{n-1}{n},\text{where}nϵN\}$ is __________.

• A. singleton set
• B. a null set
• C. a finite set
• D. an infinite set

Answer 1

The correct option is D an infinite set

Given, $A=\{x:x=\frac{n-1}{n},\text{where}nϵN\}$

Substituting n = 1, 2, 3,........ we get,

$A=\{0,\frac{1}{2},\frac{2}{3}\dots \dots \}$

Set A has infinite number of elements therefore, A is an infinite set.