Question

State which of the following sets are finite and which are infinite.

$\left\{0,1,2,3,........\right\}$

Answer 1

A set that contains countable number of different members is called a finite set and a set which contains unlimited or uncountable number of different members is called an infinite set.

Given set:

$\left\{0,1,2,3,........\right\}$

It can be seen that the given set is a set of whole number and contains uncountable number of member.

Hence, the set $\left\{0,1,2,3,........\right\}$ is Infinite set.