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How does the natural logarithm e in mathematics come from? Why is it irrational?
E is the base of natural logarithm, which is an infinite acyclic decimal with a value of 2.7 1828 ... and its definition is as follows:

When n->; When ∞, the limit is (1+1/n) n.

Note: x y stands for the y power of x.

With the increase of n, the cardinality is closer to 1, while the exponent tends to infinity. Does the result tend to 1 or infinity? Actually, it tends to be 2.7 1828 ... If you don't believe me, please use a calculator to calculate, and take n = 1, 10, 100 respectively. However, because the general calculator can only display about 10 digits, no matter how many digits, it can't be seen.

E is widely used in science and technology, and the logarithm with the base of 10 is generally not used. Taking e as the base can simplify many formulas, and it is the most "natural", so it is called "natural logarithm"