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logsimp

Run Example
(%i1)taylor_logexpand;
(%o1)                                true
(%i2) logsimp;
(%o2)                                true
(%i3) taylor (log(i1), i1, 1, 7);
                          2           3           4           5           6
                  (i1 - 1)    (i1 - 1)    (i1 - 1)    (i1 - 1)    (i1 - 1)
(%o3)/T/ i1 - 1 - --------- + --------- - --------- + --------- - ---------
                      2           3           4           5           6
                                                                      7
                                                              (i1 - 1)
                                                            + --------- + . . .
                                                                  7
(%i4) 
Run Example
taylor_logexpand;
(%o1)                                true
(%i2) logsimp;
(%o2)                                true
(%i3) taylor (log(i1), i1, 1, 2);
                                           2
                                   (i1 - 1)
(%o3)/T/                  i1 - 1 - --------- + . . .
                                       2
(%i4) 
Run Example
taylor_logexpand;
(%o1)                                true
(%i2) logsimp;
(%o2)                                true
(%i3) taylor (log(i1), i1, 0, 7);
(%o3)/T/                        log(i1) + . . .
(%i4) 

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