Alternating Series

  1. $\rhd$ Alternating series test. (5:48) An introduction. Determine whether $\sum_{n=1}^{\infty}\dfrac{(-1)^{n+1}}{n}$ converges conditionally, converges absolutely, or diverges?
  2. $\rhd$ Worked example: alternating series test (2:56) What are all positive values of $p$ for which the series $\displaystyle\sum_{n=1}^{\infty}(-1)^{n+1}\left(\dfrac{p}{6}\right)^n$ converges conditionally, converges absolutely, or diverges?
  3. * Practice: Alternating series test. (4 problems)