Precise Definition of a Limit

Limit of a Function at Infinity

For an arbitrarily small $\epsilon$, there always exists a large enough number $N$ such that when $x$ approaches $N$, $\left | f(x)-L \right | < \varepsilon$. Therefore, the limit of this function at infinity exists.

Source

Boundless vets and curates high-quality, openly licensed content from around the Internet. This particular resource used the following sources:

"Limit of a function."

http://en.wikipedia.org/wiki/Limit_of_a_function Wikipedia CC BY.

Precise Definition of a Limit

Limit of a Function at Infinity

Source

Related Terms