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Generating Functions

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Multiple Choice

What is the generating function for the sequence (1, 2, 3, 4, \dots)?

  1. \(\frac{x}{1-x}\)
  2. \(\frac{x}{(1-x)^2}\)
  3. \(\frac{x^2}{1-x}\)
  4. \(\frac{x^2}{(1-x)^2}\)
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