Question

For each set, given below, state whether it is finite set, infinite set or the null set

vii. {squares of natural numbers}

Answer 1

Step: Check whether the given set is finite, infinite or null set

Given set: {squares of natural numbers}

Squares of natural numbers

$=1^2,2^2,3^2,4^2,5^2,....$

$=1,4,9,16,25,.....$

There are countless natural numbers and so their squares are also countless.

And we know that a set is said to be an infinite set, if it has an uncountable number of elements in it.

Hence, the given set is an infinite set.