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Given the alternating series: sigma(2 to infinity): (-1)^n / ln n Determine if the series converge...

  1. Given the alternating series: sigma(2 to infinity): (-1)^n / ln n
  1. Determine if the series converge absolutely.    (Use the fact that: ln n < n)

  1. Determine if the series converge conditionally.

  1. (Estimate the sum of the infinite series using the first 4 terms in the series and estimate the error.

  1. How many terms should we use to approximate the sum of the infinite series in question, if we want the error to be less than 0.5?
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