Taylor series

 

In Maple

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

inputs outputs

    series( E^x, x=0, 5 );

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

    series( E^(x+y), x=0, 3);

                                               2      3
               exp(y) + exp(y) x + 1/2 exp(y) x  + O(x )

    series( ", y=0, 3 );

                                      O(1)