## 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