Chapter 12.1, Problem 1E

To determine

Fill in the blanks of the given statement

Answer to Problem 1E

If $f(x)$ becomes arbitrarily close to a unique number $L$ as $x$ approaches $c$ from either side, the value of $f(x)$ as $x$ approaches $L$ .

Explanation of Solution

Given:

If $f(x)$ becomes arbitrarily close to a unique number $L$ as $x$ approaches $c$ from either side, the ___________ of $f(x)$ as $x$ approaches $L$ .

Definition of limit of a function:

The limit of a function is the numerical value that a function approaches as the variable of the function approaches a certain value.

Properties of limits:

Limit of a function is a unique number.

Limit of a function is same as the variable approaches the given number from either side.