Project 8

Limits

 

1.  Graph the piece-wise function:

 

 

 

 

 

 

 

From the graph  find          _________________

 

                                           _________________

 

(You could use the  Trace /Zoom features in your calculator to do this)

 

Now  use the Table feature in your calculator to find ,   and    .

 

 ( Use  TblStart = 1.999,      DTbl =  .0001 )

 

 

x

x

1.999

 

2.001

 

1.9991

 

2.0009

 

1.9992

 

2.0008

 

1.9993

 

2.0007

 

1.9994

 

2.0006

 

1.9995

 

2.0005

 

1.9996

 

2.0004

 

1.9997

 

2.0003

 

1.9998

 

2.0002

 

1.9999

 

2.0001

 

 

 

 

=

 

 

 

=

 

2.     

 
Graph:

                                                                 

                                                         

 
                                         

 

 

 

From the graph find:

 

(         _________________________

 

 

(         _________________________

 

 

          _________________________

 

 

       _________________________