Taylor series

 

In Reduce

For comparison with other CAS choose from: Axiom Derive Macsyma Maple Mathematica

inputs outputs

• load the module taylor for computing Taylor series

      load_package taylor;
  
      taylor (e**x, x, 0, 4);
  

               1   2    1   3    1    4      5
      1 + x + ---*x  + ---*x  + ----*x  + O(x )
               2        6        24

      taylor (e**(x+y), x, 0, 2, y, 0, 2);
  

               1   2                            3  3
      1 + y + ---*y  + x + y*x + (4 terms) + O(x ,y )
               2

      taylorcombine (ws**2);
  

                   2                                3  3
      1 + 2*y + 2*y  + 2*x + 4*y*x + (4 terms) + O(x ,y )