INFINITE

Infinite

Definition Of Infinite

Infinite is something that becomes large beyond bound.

More About Infinite

It is having no limits or boundaries in time or space or extent or magnitude.
It is just the opposite of finite.

Video Examples: Adding Past Infinity

Example of Infinite

Consider 1, 2, 3, 4, 5, 6, 7, 8, 9....
Here, the number increases by 1 and it has no limits or boundaries.
Hence, the number is infinite as this count is unlimited and it will go forever.

Solved Example on Infinite

Ques: Identify an infinite set out of the four given set.

Choices:

A. P = {Set of natural numbers}
B. Q = {Set of vowels}
C. R = {Set of consonants}
D. S = {Set of prime numbers less than 20}
Correct Answer: A

Solution:

Step 1: Something infinite has no limits or boundaries.
Step 2: Here, the set of natural numbers contains infinite number of elements.
Step 3: Hence, P = {Set of natural numbers} is an infinite set.

Quick Summary

Infinite means without any limit or boundary.
It is the opposite of finite.
Examples include the set of natural numbers or the extent of space.

\[ \infty \]

🍎 Teacher Insights

Use real-world examples like counting grains of sand on a beach to illustrate the concept of something seemingly endless. Emphasize that infinity is not a number but an idea.

🎓 Prerequisites

Basic Arithmetic
Set Theory (optional)

Check Your Knowledge

Q1: Which of the following is an example of an infinite set?

A. {1, 2, 3, 4, 5} B. {vowels in the English alphabet} C. {natural numbers} D. {planets in our solar system}

Frequently Asked Questions

Q: Is infinity a number?
A: No, infinity is a concept representing something without any bound or limit.

Q: Are there different types of infinity?
A: Yes, some infinities are 'larger' than others, such as the infinity of real numbers compared to natural numbers.