anonymous
  • anonymous
((2+(-1)^n)/n) converge or diverge?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
converge.
anonymous
  • anonymous
why?
anonymous
  • anonymous
I can't find a convergence test that is conclusive...Duke, what's your process?

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anonymous
  • anonymous
it's a geometric series.
anonymous
  • anonymous
sequence*
anonymous
  • anonymous
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.
anonymous
  • anonymous
*A alternating operator can turn sequence that normally diverge to converge.
anonymous
  • anonymous
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.
anonymous
  • anonymous
(2+((-1)^n))/n
anonymous
  • anonymous
Exactly. That fraction degrades into 2/n + ((-1)^n)/n.
anonymous
  • anonymous
We have to wait for the person to clear this up.
anonymous
  • anonymous
Sounds like a plan.

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