Limit of sum of two functions
In general as x -> a, f (x) -> l, then l is called limit of the function f (x) which is symbolically written as
The limiting process respects addition as long as the limits and functions under consideration are well defined. This is not a coincidence.
Let us check our formula for
Addition of limits with an example:
Let f and g be two functions such that both
exist. Then
exist. Then(i) Limit of sum of two functions is sum of the limits of the functions, i.e.,
For Example:
