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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.

Average: 3 (413 votes)
Dave Richeson
Paul Seeburger
Dickinson College
Dave Richeson, Dickenson College