Finding the Limit Numerically

    The limit of the secant polynomials is found by evaluating formula (4) using decreasing step sizes  [Graphics:Images/TangentParabolaMod_gr_118.gif].
The numerical results are summarized in Table 1.  

        [Graphics:Images/TangentParabolaMod_gr_119.gif]
        
        Table 1. The secant parabola approximating  [Graphics:Images/TangentParabolaMod_gr_120.gif],  at  [Graphics:Images/TangentParabolaMod_gr_121.gif]  where [Graphics:Images/TangentParabolaMod_gr_122.gif].  

Details

[Graphics:../Images/TangentParabolaMod_gr_123.gif]


[Graphics:../Images/TangentParabolaMod_gr_124.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004