Project:  Four Variations on a Theme

Section 3.9  -  15 points

Due:

 

Consider the following four functions:

 

 

1.  Find the linearizations of f, g, h, and j at  a = 0.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2.  Compute the values of each of these functions at  x = 0.1 and the values of their

     linearizations.

 

 

 

 

 

 

 

 

 

 

 

 

 

3.  For which function is the approximation best?  For which is it worst?   Why?