anonymous
  • anonymous
n^2/(3n^4+2)..is this series converging or diverging as n goes from 1 to infinity?? please help!
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
converging. the denominator approaches infinity for large values of n. so for large values of n, the expression is approx. 0.
anonymous
  • anonymous
ok. so if the degree of the variable in the denominator is greater, then its always converging to zero??
anonymous
  • anonymous
in most cases, yes.

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anonymous
  • anonymous
basically, your equation becomes n^2/3n^4 for large values of n. or 1/3n^2
anonymous
  • anonymous
ok thank you. can we prove this by using the limit comparision test?? or any other tests?
anonymous
  • anonymous
yes you can.
anonymous
  • anonymous
http://en.wikipedia.org/wiki/Convergence_tests

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