Right-Hand Limit (RHL) Notation:
Read: The limit of as approaches from theright direction equals .
The key to recognizing that you are looking at a right-hand limit will be the plus sign ( + ) in the exponent of your given .
Remember the that you are headed towards is an , and the answer to the limit question is always a .
A right-hand limit is asking you what does it look like your is heading towards as you approach the given from the right direction .
Starting from the right side (positive side) of the graph, follow along the graph (moving to the left), and head towards the you are given. Once you get to that the answer is the it looks like your graph is headed towards. You do not care if there is an actual value there (filled in circle) or if it is undefined there (open circle). The limit only cares what does it look like you are heading towards.
We are talking in terms of graphs for our here to better understand the concept. When you are asked to find these limits using an equation for , the process does not involve specifically following a graph visually. Instead, it is an algebra process. Meaning you will find your result using actual numbers and equations, and not simply look at the behavior of a given graph.