answersLogoWhite

0

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.

User Avatar

Wiki User

16y ago

What else can I help you with?

Related Questions

Who defined the number e?

because it is e


What is e equivalent to?

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


Who defined the binary number system?

A.N.D. Leibniz defined the binary number system.


What is the answer of point 0 corresponds to the additive inverse of the number that correspond to point E?

The additive inverse of a number is its opposite, meaning that if point E corresponds to a number ( x ), the additive inverse would be ( -x ). Therefore, point 0 corresponds to the additive inverse of the number at point E if point 0 is defined as the point representing the value ( -x ). In this context, point 0 would effectively be the reflection of point E on the number line.


Is 0 divided by 3 defined or not?

0


What is the number one a prime number or a compostie number?

Neither. The property of prime or composite is not defined for 1, just as it is not defined for 0 or 0.5.


How did Robert E. Lee defined secession?

he hated it


Defined what an element is?

The atomic number, the number of protons


In Avogadros number is defined as the number of particles in?

A mole.


Probability can be defined as a ratio between the number of and number of possible outcomes?

yes it can be defined more commonly as a ratio between the number of and numbr of possible outcomes


How Was the Number E Discovered?

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.


Can a region be defined by the number of people?

No