There are several useful representations of the constant e.
1. e = the unique number a such that if f(x) = a^x, then f'(x) = a^x.
2. e = lim(x->infinity)(1 + 1/x)^x
3. e = the infinite sum 1/0! + 1/1! + 1/2! + 1/3! + ...
All three of these representations can be shown to be equal.
In base 10, e is approximately 2.718281828.
it is defined as such.
e-6
E 102 hope this helps!:P
It is rational.
The definition is the same as the definition of just about any division. Dividing by a number can be defined as multiplying by the reciprocal of the number. The reciprocal is the number which, when multiplied by a number, results in a product of 1. For example, dividing by 2 is defined as multiplying by 1/2 (since 2 x 1/2 = 1). Division can also be defined as finding a solution of an inverse multiplication problem. For example, 5 / 2 = x is equivalent to x times 2 = 5; thus, the division can be defined as finding a number that solves the multiplication. Although I didn't use mixed fractions in the above examples, the definitions are exactly the same for mixed numbers.
because it is e
e is defined as the limit of (1 + 1/x)^x as x approaches infinity. It is an irrational number. The decimal approximation is 2.71828183
A.N.D. Leibniz defined the binary number system.
0
he hated it
Neither. The property of prime or composite is not defined for 1, just as it is not defined for 0 or 0.5.
A mole.
The atomic number, the number of protons
The number e was discovered through the study of compound interest in mathematics. It was first defined by the Swiss mathematician Leonhard Euler in the 18th century. Euler showed that as the number of compounding periods increases, the value of (1 + 1/n)^n approaches a limit, which is approximately 2.71828, known as Euler's number or e. This constant is fundamental in calculus and is used in various fields such as finance, physics, and engineering.
yes it can be defined more commonly as a ratio between the number of and numbr of possible outcomes
No
it is defined as such.