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anonymous

  • 5 years ago

((2+(-1)^n)/n) converge or diverge?

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  1. anonymous
    • 5 years ago
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    converge.

  2. anonymous
    • 5 years ago
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    why?

  3. anonymous
    • 5 years ago
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    I can't find a convergence test that is conclusive...Duke, what's your process?

  4. anonymous
    • 5 years ago
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    it's a geometric series.

  5. anonymous
    • 5 years ago
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    sequence*

  6. anonymous
    • 5 years ago
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    I used comparison test. Assume 1/n -> diverges and (-1)^n/n converges. ( This is a fact.) Your sequence just has a 2+ which can be dropped since +/- are meaningless. You can also use the alter series test.

  7. anonymous
    • 5 years ago
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    *A alternating operator can turn sequence that normally diverge to converge.

  8. anonymous
    • 5 years ago
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    Actually, you don't just have a 2+...you have a 2/n (which is divergent). Check your parentheses.. normally I'd agree with you completely, but it breaks down into 2/n + (-1)^n/n.

  9. anonymous
    • 5 years ago
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    (2+((-1)^n))/n

  10. anonymous
    • 5 years ago
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    Exactly. That fraction degrades into 2/n + ((-1)^n)/n.

  11. anonymous
    • 5 years ago
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    We have to wait for the person to clear this up.

  12. anonymous
    • 5 years ago
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    Sounds like a plan.

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