
 approximation of e^x on [0,1] with a uniform weight w(x)=1  
 
 The coefficients a0,a1,a2,a3 are respectively :     
 
    0.99906  
    1.0183   
    0.42125  
    0.27863  
 
 Displaying the value of x exp(x) p3(x) exp(x)-p3(x) :   
 
    0.     1.         0.99906    0.00094  
    0.1    1.10517    1.10538  - 0.00021  
    0.2    1.2214     1.2218   - 0.00040  
    0.3    1.34986    1.34999  - 0.00013  
    0.4    1.49182    1.49161    0.00021  
    0.5    1.64872    1.64835    0.00037  
    0.6    1.82212    1.82187    0.00025  
    0.7    2.01375    2.01385  - 0.00010  
    0.8    2.22554    2.22595  - 0.00041  
    0.9    2.4596     2.45986  - 0.00025  
    1.     2.71828    2.71723    0.00105  