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The Limit of a Sequence  

This resource is a geogebra applet with minimal instructions that allows the user to explore the limit of a sequence visually. An example sequence is given and the user can enter their own examples as well. The user can propose a limit value and then they can vary the value of epsilon and \(N\), so that it is clear for what value of \(N\) all values of the sequence with \(n \geq N\) are less than epsilon away from the limit. It is currently not clear how to move further to the right, but for most converging sequences this is not a problem. All sequence values within epsilon of the limit value are green while those outside this range are displayed in red.

Resource URL: http://users.dickinson.edu/~richesod/limitsequence/

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Subject classification(s): Series | Single Variable Calculus | Calculus | Sequences and Series | Algebra | Algebra and Number Theory

Creator(s): Dave Richeson

Contributor(s): Dave Richeson

This resource was cataloged by Paul Seeburger

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