Q:

# What is epsilon in math?

A:

Epsilon in math, represented by the Greek letter "E," is a positive infinitesimal quantity. Essentially, it denotes a very small number that is not negative, approaching zero but staying positive.

Know More

## Keep Learning

The epsilon is used in the epsilon-delta definition of the limit. This notation is the formal representation of forming the limit of a function at a specific point. Sometimes called the precise definition, it is written out as lim F(X) = L as X approaches A. This equation notates how close to L the F(X) should be. This closeness is somewhat arbitrary, but if the "lim F(X)" side of the equation is less than the epsilon, it stays within the limits of the epsilon.

Scientist and physicist Sir Isaac Newton worked with these concepts and referred to them in his work. He wrote of ratios that were not ratios with set quantities, but rather limits that they approached so closely that the difference was negligible.

Mathematician Augustin-Louis Cauchy began developing this idea by using arguments based on delta and epsilon in his proofs. He called this concept "variable quantities." Nobody provided the formal definition until Bernard Bolzano first notated this limit in 1817. Its definitive modern version was provided by Karl Weierstrass.

Sources:

## Related Questions

• A:

The number notated by "e" is a famous irrational number known as Euler's number that is approximately equal to 2.72. The number "e" has no final digit and has been calculated accurately to over one trillion digits.

Filed Under:
• A:

A math genius is a person who is exceptional in the field of mathematics. Someone considered to be a genius typically has skills and understanding in their field far above those of most people. In many cases, the term is applied to those whose talent in a field allows them to achieve a new level of insight that benefits humanity.

Filed Under:
• A:

Integers are positive and negative whole numbers, including zero. As with whole numbers, integers do not include fractions or decimals. Integers are a part of the numerical classification system in mathematics.