Definition of Limit Calculus

A limit is a mathematical computation that tells us the value assumed by a mathematical expression/function as the independent variable approaches a certain value.

Limit of a Function

Let a function `f(x`) be defined in an open interval in the neighborhood of the number "a".
If as `x` approaches "a" from both left and right sides of "a", `f(x`)approaches a specific number "L" then "L" is called the limit of `f(x)` as `x` approaches a.

Symbolically,
Limit is expressed as follows:

`Lim_(x->a) f(x) = L `

And is read as "Limit of `f(x)` as `x-> `a is L" .

Under this definition of the limit of a function, we can categorize limits into these three types:

•  Limit of a function as X approaches some fixed constant
•  Limit of a function as X approaches +ve/-ve infinity
•  Limit of a function as X approaches 0

There are some fundamental theorems on Limits of functions. We present their brief statements here.