CK-12-Calculus

(Marvins-Underground-K-12) #1

8.2. Infinite Series http://www.ck12.org



  1. Suppose∑∞k= 1 Ukis a convergent series and∑∞k= 1 Vkis a divergent series. Explain why∑∞k= 1 (Uk+Vk)and
    ∑∞k= 1 (Uk−Vk)both diverge.

  2. Give an example of a geometric series whose sum is−3.

  3. Give an example of a telescoping sum whose sum is 4.


Keywords



  1. infinite series

  2. sequence of partial sums

  3. convergence

  4. divergence

  5. geometric series

  6. ratio of geometric series
    7.nth-Term Test

  7. reindexing

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