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anonymous

  • 5 years ago

n^2/(3n^4+2)..is this series converging or diverging as n goes from 1 to infinity?? please help!

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  1. anonymous
    • 5 years ago
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    converging. the denominator approaches infinity for large values of n. so for large values of n, the expression is approx. 0.

  2. anonymous
    • 5 years ago
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    ok. so if the degree of the variable in the denominator is greater, then its always converging to zero??

  3. anonymous
    • 5 years ago
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    in most cases, yes.

  4. anonymous
    • 5 years ago
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    basically, your equation becomes n^2/3n^4 for large values of n. or 1/3n^2

  5. anonymous
    • 5 years ago
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    ok thank you. can we prove this by using the limit comparision test?? or any other tests?

  6. anonymous
    • 5 years ago
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    yes you can.

  7. anonymous
    • 5 years ago
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    http://en.wikipedia.org/wiki/Convergence_tests

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