The series you provided is \( 1 - 2 + 4 - 8 + \ldots \). This can be expressed as an infinite series of the form: \[ S = 1 - 2 + 4 - 8 + 16 - 32 + \ldots \] This is a geometric series where the first term \( a = 1 \) and the common ratio \( r = -2 \).

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  1. Divergent series
  2. Asymptotic analysis
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