Wetzel

Math 140

1.2 – Finding Limits Graphically and Numerically

Review:

            Given the function,         

                        a.)  find   [the value of a function at a particular point]

                        b.)  graph .

Limits:

            def.:  the value of a function while approaching a particular point.

            notation:                  “the limit of f(x) as x approaches c.”

• Find           GRAPHICALLY.

• Find          NUMERICALLY.

Ex.:  Find the following limit using a table.  Then, graph the function in the calc.

            1.) 

            2.) 

3 Ways a Limit Does Not Exist –

            3.)                   (Different Left and Right Behaviors)

            4.)                      (Unbounded Behavior)

            5.)                                      (Oscillating Behavior)

HW:  p.54 #1, 3, 7-21