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# Natural Logarithm

## 5.3 Special Exponential and Logarithmic Functions

#### Special Exponential Functions

• The exponential function y=e^x is a special exponential function, and is vital in the field of mathematics.
• In particular, e=\lim _{n \rightarrow \infty}\left(1+\frac{1}{n}\right)^{n} is a constant known as the Euler’s number. It is approximately 2.718281459045…, and it is an irrational number like \pi.
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