http://www.ck12.org Chapter 14. Concepts of Calculus
14.2 Graphs to Find Limits
Here you will use graphs to help you evaluate limits and refine your understanding of what a limit represents.
A limit can describe the end behavior of a function. This is called a limit at infinity or negative infinity. A limit can
also describe the limit at any normalxvalue. Sometimes this is simply the height of the function at that point. Other
times this is what you would expect the height of the function to be at that point even if the height does not exist or
is at some other point. In the following graph, what aref( 3 ),limx→ 3 f(x),limx→∞f(x)?
Watch This
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/62304http://www.youtube.com/watch?v=LdewtuWi7fM James Sousa: Determining Basic Limits Graphically
Guidance
When evaluating the limit of a function from its graph, you need to distinguish between the function evaluated at the
point and the limit around the point.