Unit 8.3 Euler’s Number
Euler’s Number
Euler’s (pronounced “Oil-er”) number, denoted by the symbol e, is one of the most important constants in mathematics. It represents growth or decay that is continuous. It is often referred to as the “Natural Number” since it occurs so often in nature
In actuality, it is the limit of the expression [latex]\left(1 + \frac{1}{n}\right)^n[/latex] as n approaches infinity. It is approximately equal to 2.71828.
It is also an exponential function and takes the place of b in exponential functions.
y = ex
Where
- If x > 0 it represents exponential growth
- If x < 0 it represents exponential decay