What does e stand for in mathematics Such as the title

What does e stand for in mathematics Such as the title


The lowercase e, as a mathematical constant, is the base of natural logarithm function. Sometimes it is called Euler number, named after the Swiss mathematician Euler It is one of the two commonly used limits in calculus. It is the limit of (1 + 1 / x) ^ x when x approaches infinity



What does e stand for in mathematics


Natural base
For the sequence {(1 + 1 / N) ^ n},
When n tends to positive infinity, the limit of the sequence is e, that is e = LIM (1 + 1 / N) ^ n
Some properties of the number e make it convenient to be used as the base of the logarithm system. The logarithm with E as the base is called natural logarithm. It is represented by the sign ln without marked base. In theoretical research, natural logarithm is always used



What does e ^ mean in mathematics


Exponent, e is an irrational number as important as PI in mathematics, which is about 2.718281828 If your number 0.0456 is written on the top right of E, it means that the power of E is 0.0456, which is an index. Scientific notation also uses e, for example, 1.23e + 3 means 1230