Limit Notation

Limit notation annotated

The limit operator is denoted using the abbreviation “”. Underneath is the variable and the threshold value the variable approaches. The expression to the right of is the result we are interested in computing.

Limit notation annotated

Typically, the limit notation is used in an expression like the one below:

In plain language this means take the limit of the expression as the variable approaches the value . To see how to compute limits see the limit operator page.

Plus and Minus Symbols

As opposed to evaluating the limit as the variable approaches the threshold value from both sides, a plus sign after the threshold value means that we are evaluating the limit as the variable approaches the threshold value from the right.

Limit notation annotated

A negative sign after the threshold value means that we are evaluating the limit as the variable approaches the threshold value from the left.

Limit notation annotated