next up previous contents
Next: Summation and Products Up: Analytical operations Previous: Limits

Taylor series

 

In Mathematica

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


inputs outputs

    Series[ E^x, x,0,4 ]
             2    3    4
            x    x    x        5
    1 + x + -- + -- + -- + O[x]
            2    6    24
    Series[ E^(x+y), x,0,2, y,0,2 ]
             2                     2
            y        3            y        3
    1 + y + -- + O[y]  + (1 + y + -- + O[y] ) x +
            2                     2

               2
      1   y   y        3   2       3
     (- + - + -- + O[y] ) x  + O[x]
      2   2   4
    %^2
                 2       3                 2       3
    1 + 2 y + 2 y  + O[y]  + (2 + 4 y + 4 y  + O[y] ) x +

                   2       3   2       3
     (2 + 4 y + 4 y  + O[y] ) x  + O[x]



Richard Liska