anonymous
  • anonymous
is the series (n=1 to infinity) for: -1/(x+1) divergent or convergent, and how do you prove it?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
is it (-1)^{n}/(x+1) ? otherwise the answer would be -1/(x+1) since the function or sequence you are looking at does not depend on n.
anonymous
  • anonymous
\[(-1)^{n}/(x+1)\]
anonymous
  • anonymous
Sorry, I meant for -[(1)/(n+1)], I shouldn't have included x. Since this is in general harmonic form, can I say it is divergent? Thanks.

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anonymous
  • anonymous
yes. look at limit comparison test
anonymous
  • anonymous
actually, if you look at the sequence, if the entire thing is negative, then you can just do comparison test to harmonic series. just take absolute value of your sequence first
anonymous
  • anonymous
That makes sense, thanks a bunch :D

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