What is e?
Understand the Problem
The question is asking for the definition or value of the mathematical constant 'e'. This is related to exponential growth and natural logarithms.
Answer
Euler's number, *e*, is a mathematical constant approximately equal to 2.71828. It is the base of the natural logarithm.
The number e, also known as Euler's number, is a mathematical constant approximately equal to 2.71828. It is the base of the natural logarithm and is fundamental in mathematics for describing growth and exponential functions.
Answer for screen readers
The number e, also known as Euler's number, is a mathematical constant approximately equal to 2.71828. It is the base of the natural logarithm and is fundamental in mathematics for describing growth and exponential functions.
More Information
e is a transcendental and irrational number, meaning it cannot be expressed as a root of a non-zero polynomial equation with rational coefficients, and its decimal representation neither terminates nor repeats.
Tips
A common mistake is to confuse e with pi (π). While both are irrational numbers, e is approximately 2.71828, whereas π is approximately 3.14159. They arise in different areas of mathematics: e in calculus and exponential growth, and π in geometry and trigonometry.
Sources
- e (mathematical constant) - Wikipedia - en.wikipedia.org
- Euler's Number (e) Explained, and How It Is Used in Finance - investopedia.com
- e - Euler's number - Math is Fun - mathsisfun.com
AI-generated content may contain errors. Please verify critical information
