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9-114.

Consider the infinite series below. For each, decide if it converges or diverges and justify your conclusion. If the series converges, find its sum.

For an infinite geometric series:

  1. This is a geometric series with .

  1. Think of this as:

    What is happening to the value of each term?

  1. See the hint in part (b).

  1. This is a geometric series with .