Sequence Convergence

In the applet below, \(L\) is the proposed value of the limit, \(\epsilon\) 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 \(\epsilon\) of \(L .\) You may adjust the values of \(L , \epsilon , \) and \(N\) by clicking on and dragging the corresponding points.

Stemkoski and Storm, Created with GeoGebra