Question

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

Answer 1

A.

I took the quiz and got it correct.

Answer 2

A.

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.