# Limit Notation

The syntax for a limit is a the abbreviation “lim” followed an expression. Underneath the letters “lim” is the value the variable approaches within the expression denoted as the variable with an arrow to the value it is approaching. Typically, the limit notation is used in an expression like this:

In plain language this means take the limit of the expression as the variable approaches (infinity). To see how to take the limit of an expression see the limit operator.

Sometimes, the plus and minus are used to describe if the limit only approaches from one side. A plus sign denotes that it approaches from only the right side, a negative sign denotes that it approaches from only the left side, and neither means that it approaches from both sides.

The limit operator is used to evaluate the behavior of functions and series.