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duckiness

  • 3 years ago

Does the series cos n /(n^3) converge or diverge?

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  1. modphysnoob
    • 3 years ago
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    n^3 would converge

  2. duckiness
    • 3 years ago
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    what test would you use to prove it?

  3. modphysnoob
    • 3 years ago
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    p test

  4. modphysnoob
    • 3 years ago
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    I am assuming it is from 1 to infinity

  5. xkylex
    • 3 years ago
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    Yes, it would be converge

  6. duckiness
    • 3 years ago
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    yep! I just don't know how to prove it with a test

  7. xkylex
    • 3 years ago
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    http://mathforum.org/library/drmath/view/74703.html

  8. modphysnoob
    • 3 years ago
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    start with just 1/n^3

  9. duckiness
    • 3 years ago
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    could you use the comparison test?

  10. modphysnoob
    • 3 years ago
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    yes, 1/n^3 always converge

  11. modphysnoob
    • 3 years ago
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    cos (x)<1

  12. xkylex
    • 3 years ago
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    It does not require a paragraph of an explanation, you could either use the link I showed you for an example as they do some hardcore calculating or you can follow what modphysnoob is doing.

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