Determine whether the following alternating series are absolutely convergent, co

Question

Determine whether the following alternating series are absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent".
  choose one    Absolutely Convergent    Conditionally Convergent    Divergent    1. n=2(1)^(n1)n/(1+2n)

  choose one    Absolutely Convergent    Conditionally Convergent    Divergent    2. n=2(1^)n(e^(1/n))^n

  choose one    Absolutely Convergent    Conditionally Convergent    Divergent    3. n=2(1)^(n+1)n^5+6/(n^6.011)

Explanation / Answer

1.) divergent by n-th term test

2.)divergent by limit comparison test

3.) absolutely convergent by n-th term test

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