Sequence Convergence

In the applet below, L is the proposed value of the limit, \varepsilon is how close to the limit you want the sequence to be, and N is the point after which the values of the sequence are "sufficiently close to the limit" (that is, within \varepsilon of L). You may adjust the values of L, \varepsilon, and N by clicking on and dragging the corresponding points.

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Stemkoski and Storm, Created with GeoGebra