Limits
Suppose you are asked to sketch the graph of the function f.
For all values other than x=1, you can use standard curve sketching techniques. However, at x=1 , it is not clear what to expect. To get an idea of the behavior of the graph of f near x=1, you can use two sets of x-values – one set that approaches 1 from the left and one set approaches 1 from the right.
Learn more about limits by reading the explanation below.
Practice: Find the limits of constant, identity, polynomial and rational functions in the following exercises.