INFINITY
Definition Of Infinity
Infinity is a limitless quantity that is greater than every real number.
More About Infinity
The symbol for infinity '∞' is called the lemniscate.
Any number divided by zero is equal to infinity. For example:
.
Any number divided by infinity is equal to zero. For example: 
.
Video Examples: Adding Past Infinity
Example of Infinity
In the Solar System, the planets such as the Earth move around the Sun from time
immemorial and may go on to do so till infinity i.e. for a limitless time period.
Solved Example on Infinity
Ques: Which of the following is equivalent to infinity?
Choices:
A. 0/2
B. 4/0
C. 
D. 2/5
Correct Answer: B
Solution:
Step 1: Any number divided by zero is equal to infinity.
Step 2: Here, 4/0 is equal to infinity.
Quick Summary
- Infinity is not a real number but a concept.
- Any number divided by zero (approaching zero) tends to infinity.
- Any number divided by infinity tends to zero.
- The symbol for infinity is ∞, called the lemniscate.
🍎 Teacher Insights
Emphasize that infinity is a concept, not a number. Use visual aids like number lines extending indefinitely to illustrate the idea of unboundedness. Discuss the different 'sizes' of infinity, such as countable vs. uncountable infinities, at a higher level.🎓 Prerequisites
- Algebra
- Limits
Check Your Knowledge
Q1: Which of the following is equivalent to infinity?
Q2: What is the result of dividing any number by infinity?
Frequently Asked Questions
Q: Is infinity a number?
A: No, infinity is a concept representing an unbounded quantity, not a specific number.
Q: What happens when you divide by zero?
A: Dividing by zero is undefined in standard arithmetic. However, when considering limits, a number divided by a quantity approaching zero tends to infinity.