Question

In order for the limit of F(X) to exist at x=a, which of the following must hold true

Answer 1

Answer:

A.

Step-by-step explanation:

Given: limit of f(x) exists at x = a

To choose: the correct option

Solution:

A limit is a value that a function approaches as the input approaches some value.

$\lim_{x\rightarrow a}f(x)=L$ means that as x approaches to value a then f(x) approaches to value L.

A limit of a function f(x) exists at x = a if $\lim_{x\rightarrow a^-}f(x)=\lim_{x\rightarrow a^+}f(x)=L$

So, option A. is correct.