Question

If a function f has no limit as x approaches c, then we say

that $\underset{x\to c}{\lim }f\left(x\right)$__ __ __.

Short answer

If a function f has no limit as xapproaches c, then we say that $\underset{x\to c}{\lim }f\left(x\right)$does not exist.

Step-by-step solution

Step 1. Given information.

Statement given is that the limit of a function f has no limit as x approaches c.

Step 2. Explanation.

The limit of a function f has no limit as x approaches c, and then we say that $\underset{x\to c}{\lim }f\left(x\right)$does not exist.

So the blank can be filled as:

If a function f has no limit as x approaches c, then we say that $\underset{x\to c}{\lim }f\left(x\right)$does not exist.