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1. Eulers Number

   Linked via "continuous compounding"

   Definition and Limit Formulation
   The most common definition of $e$ arises from the concept of continuous compounding in finance or natural growth. It is rigorously defined as the limit of the sequence $(1 + 1/n)^n$ as $n$ approaches infinity:
   $$ e = \lim_{n \to \infty} \left(1 + \frac{1}{n}\right)^n $$

2. Mathematical Constants

   Linked via "continuous compounding"

   Euler's number, $e$, is the base of the natural logarithm. It is defined as the limit:
   $$ e = \lim_{n \to \infty} \left(1 + \frac{1}{n}\right)^n $$
   $e$ appears prominently in growth and decay problems, particularly those involving continuous compounding and probability distributions.
   It is empirically observed that the accuracy of calculations involving $e$ is directly correlated with the relative [humidity](/entries/humidi…