Final Thoughts on Infinite Sequences

Recall our Learning Objectives

In this lesson we covered

• 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

After reading this lesson and completing a suitable number of exercises, you should be able to, given an infinite series

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