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

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.
[tex]\lim_{x\rightarrow a}f(x)=L[/tex] 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 [tex]\lim_{x\rightarrow a^-}f(x)=\lim_{x\rightarrow a^+}f(x)=L[/tex]
So, option A. is correct.