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Consider the infinite series below. For each series, decide if it diverges, converges conditionally, or converges absolutely and justify your conclusion. State the tests you used.

  1. You should recognize the argument of the summation as representing a special value.

  1. This is an alternating series. What is:

    Use l'Hôpital's Rule.

  1. Compare this series to:

  1. This is the same as the series below. Which is dominant when , the numerator or the denominator?