Sums and Series


In[14]:= Sum[x^i, {i, 0, 5}]
                 2    3    4    5
Out[14]= 1 + x + x  + x  + x  + x

In[15]:= Sum[x^i/i, {i, 1, 5, 2}]
             3    5
             x    x
Out[15]= x + -- + --
             3    5

In[16]:= N[Sum[i^-3, {i, 1, Infinity}]]
Out[16]= 1.20206

In[17]:= Product[x^i/i + i, {i, 1, 4}]
                      2        3        4
                      x        x        x
Out[17]= (1 + x) (2 + --) (3 + --) (4 + --)
                      2        3        4

In[18]:= Series[(1+x)^n, {x, 0, 3}]
                               2                        3
                   (-1 + n) n x    (-2 + n) (-1 + n) n x        4
Out[18]= 1 + n x + ------------- + ---------------------- + O[x]
                         2                   6

In[19]:= Series[Cos[x], {x, 0, 5}]

              2    4
             x    x        6
Out[19]= 1 - -- + -- + O[x]
             2    24

http://math.arizona.edu/~swig/documentation/mathematica/sums_series.php
Last modified: Fri, 14 Dec 2007 15:50:52 -0700
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