Wetzel

Math 140

1.4 – Continuity and One-Sided Limits

Continuity at a Point –

            A function, f(x), is continuous at a point, c, if all the following conditions hold.

·        f(c) is defined

·         exists

·       

            Graphically,

            1.)                                

            2.)               

            3.)                                      

Two Types of Discontinuities –

            Removable -     If the discontinuity can be removed by simplifying.

            Non-Removable -   If the discontinuity cannot be removed.

            Ex.

            4.)         Find any and label each discontinuity.

            5.) 

One-Sided Limits –                (Nothing new)

            limit from the left:         

            limit from the right:       

            Ex:

            6.)                                                       7.) 

HW:  p.78 #1-11odd, 25, 33-41odd, 45, 47