Objectives: The first part of this tutorial contains a list of theorems that can be used to evaluate many limits. The second part contains a collection of examples that these theorems cannot be used to evaluate immediately. It is shown how to do some algebraic manipulation to put these examples in the form so that the theorems can be applied. After working through these materials, the student should know these basic theorems, how to apply them to evaluate limits and how to manipulate certain examples so that the theorems may be used.