ABSTRACT
R has a unique command for creating sequences. This chapter demonstrates the colon operator and shows how to create a sequence. The colon operator allows to investigate sequences because it is easy to define input values. The most important limit in a calculus class is that of the derivative. The chapter discusses how R may help students understand these limits with examples dedicated to a derivative limit as well as a limit associated with a rational function. One of the advantages of using R is that it is somewhat natural to differentiate between the left and right hand limits. The chapter also demonstrates how to create recursive sequences by using the Fibonacci sequence as an example.
