Generate the digits of e (Euler's number) to any precision you need. Explore this fundamental mathematical constant that appears in calculus, compound interest, and natural growth processes.
Understanding e (Euler's Number)
Euler's number e ≈ 2.71828... is a mathematical constant that is the base of natural logarithms. It was discovered by Jacob Bernoulli while studying compound interest.
Key Properties
- e is an irrational and transcendental number
- It's the unique number where the derivative of e^x equals e^x
- e = lim(n→∞) (1 + 1/n)^n
- e = Σ(n=0 to ∞) 1/n!
Applications of e
- Natural logarithms and exponential functions
- Compound interest calculations
- Population growth models
- Radioactive decay
- Normal distribution in statistics
