A Case of the Epsilon-Delta Definition of a Limit
From the intuitive notion of a limit, if , then can be made as close to as desired simply by finding an that is sufficiently close to . The formalized version of this is the definition of a limit. In this case . Select a value for and you can find a corresponding so that, if , then .
Snapshot 1: Select an .
Snapshot 2: Find a corresponding .
Snapshot 3: Close in on the limit.