The following figures show what is meant by the Limit of a Sequence. Scroll down the page for more examples and solutions.

The concept of determining if sequence converges or diverges.

Example:

Consider the following graphs of sequences.

Do they appear to have a limit?

a

a

Determine if the sequence converges or diverges.

a

a

a

a

Example:

Find the limit of each given sequence

a) {1/n

b) {(n

c) {n

How to find the limits of some sequences by using the squeeze and / or absolute value theorems?

Example:

Find the limit of the sequence

{1/n

Find the limit of the sequence

x

Find the limit of the sequence

{n

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.