• the concept of limit
• graphical approach
• one-sided limits
• limits involving infinity
• how to calculate
• formal definition

Limits: one-sided limits

	Piecewise continuous functions: left and right limits © Daniel R. Cole
	Examples of when left-hand and right-hand limits are the same and when they are different © Dorothy Wallace
	For a piecewise defined function G(x), what is the limit as x approaches 1 from the right? © Dorothy Wallace
	For a piecewise defined function G(x), what is the limit as x approaches 3 from the left? © Dorothy Wallace
	For a piecewise defined function G(x), what is the limit as x approaches 3? As x approaches 1? © Dorothy Wallace
	Find © Dorothy Wallace
	Find © Dorothy Wallace
	To practice using the concepts just covered, try problem set OC02-03-Limits-OneSided in the WeBWorK window. If you have not yet opened a WeBWorK window displaying all the problem sets, you can do so by clicking below, then Guest Login If necessary, click here to open a new WeBWorK window