Posted by: Dave Richeson | October 28, 2011

Applet to illustrate the epsilon-delta definition of limit

Here’s a GeoGebra applet that I made for my Real Analysis class. It can be used to explore the definition of limit:

Definition. The limit of f(x) as x approaches c is L, or equivalently \displaystyle \lim_{x\to c}f(x)=L, if for any \varepsilon>0 there exists \delta>0 such that whenever 0<|x-c|<\delta, it follows that |f(x)-L|<\varepsilon.

About these ads

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s



Get every new post delivered to your Inbox.

Join 211 other followers

%d bloggers like this: