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1 − 1 + 2 − 6 + 24 − 120 + ⋯

 Home Mathematics Fields of mathematics Mathematical analysis Asymptotic analysis Divergent series
 0 By others on same topic  0 Discussions  1970-01-01  See my version
To evaluate the series \( S = 1 - 1 + 2 - 6 + 24 - 120 + \cdots \), we can identify the terms in the series in a more systematic way. We observe that the series can be expressed in terms of factorials: - The \( n \)-th term appears to follow the pattern \( (-1)^n n! \).

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  1. Divergent series
  2. Asymptotic analysis
  3. Mathematical analysis
  4. Fields of mathematics
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