David Little  
Mathematics Department Penn State University Eberly College of Science University Park, PA 16802 
Office: 403 McAllister Phone: (814) 8653329 Fax: (814) 8653735 email:dlittle@psu.edu 



The Limit of a Sequence
The following applet can be used to examine the limit of the sequence a(n) as n approaches infinity. Simply enter the function a(n) and the values L (the proposed value of the limit of a(n) as n approaches infinity) and ε (epsilon). The values L and ε can be changed by simply typing a new value, such as "1.2345", "pi/2", "sqrt(5)+cos(3)", etc. You may also change these values by using the up/down arrow keys or dragging the corresponding point along the appropriate axis. To move the center of the graph, simply drag any point to a new location. To label the xaxis in radians (i.e. multiples of pi), click on the graph and press "controlr". To switch back, simply press "controlr" again. Note that for large values of xscale, the applet does not plot every element of the sequence. To force the applet to plot every element of the sequence, hold down the "SHIFT" key. Keep in mind that doing so may slow down the applet. Here is a list of functions that can be used with this applet.
© 2008 David P. Little Download this applet for offline viewing (includes source code). The above applet uses the Java Math Expression Parser (JEP) developed by Singular Systems 