Taylor series

 

In Derive

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

inputs outputs

    taylor (#e^x, x, 0, 4)

             x
    TAYLOR (e , x, 0, 4)


      4      3      2
     x      x      x
    ---- + ---- + ---- + x + 1
     24     6      2

    taylor(taylor(#e^(x+y), x, 0, 2), y, 0, 2)

                     x + y
    TAYLOR (TAYLOR (e     , x, 0, 2), y, 0, 2)


       2              2
     (y  + 2 y + 2) (x  + 2 x + 2)
    -------------------------------
                   4