23.02.2011 22:58, Alexey U. Gudchenko пишет:

Sorry, to avoid confusion I add some correction.

In previous message I was concentrated on the last terms and have think about what to do with this f.e.:

>>> (cos(x) + x).series(x, n=3)

variant 1 (present):
    1 + x - x**2/2 + O(x**3)
or
    1 + x - x**2/2 + O(x**4)

The last variant produce some investigation about zero terms (from x^3) and found non zero terms and signal about it with the help of O(x**4).
May be, I other word, it yield real precision of assymptotic expansion.

But if we revert to talk about even or odd terms, it is of course additional investigation about terms.




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