Epsilon Delta Definition of the Limit

The problem asks students to use the epsilon-delta definition of the limit of a function to show that the limit as [i]x[/i] approaches 1 of [math]x^2+1[/math] is 2. Students can manipulate the epsilon interval around 2 (on the y-axis) and also the delta interval around 1 (on the x-axis) to demonstrate (within the limits of the applet) that they are always able to find a delta that "fits" within the epsilon interval.

 

John

 
Resource Type
Activity
Tags
calculus  definition  delta  epsilon  limit 
Target Group (Age)
14 – 18
Language
English (United States)
 
 
GeoGebra version
4.4
Views
1284
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