Infinite Sequences

What This Lesson Covers

In this lesson we introduce

• the definition of convergence of an infinite sequence
• various theorems on limits of infinite sequences, including
• the theorem relating between the limit of a function and a limit of a sequence
• the limit laws for infinite sequences
• the squeeze theorem for infinite sequences
• the theorem on the limit of the absolute value of a sequence

Learning Outcomes

After reading this lesson and completing a sufficient number of problems, students should be able to

• determine whether an infinite sequence converges using the theorems presented in this lesson

Simply reading the content in this lesson will not be sufficient. Students will need to get out a pencil and paper and complete problems in order to prepare themselves for assessments related to this lesson.