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anonymous

  • 5 years ago

a_n= (-1)^n (n+4/n+1), determine whether the sequence converges or diverges

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  1. anonymous
    • 5 years ago
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    divergent

  2. anonymous
    • 5 years ago
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    how did u get that lol?

  3. anonymous
    • 5 years ago
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    use absolute after that limit

  4. anonymous
    • 5 years ago
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    can u explain a little further

  5. anonymous
    • 5 years ago
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    let f(x)= a(n)= (-1)^n (n+4/n+1) |f(x)|= lim |(-1)^n (n+4/n+1)| --> lim 1^n(n+4/n+1) = 1 \[\neq\] 0, means divergent

  6. anonymous
    • 5 years ago
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    Okay, alternating series test:\[\sum_{n=1}^{\infty}(-1)^n*a_n = a_1-a_2+a_3-a_4+...\] converges if limit of a_n as n approaches infinity is 0. The limit is 1 as n approaches infinity in (n+4)/(n+1), which does not equal 0, hence, the series diverges.

  7. anonymous
    • 5 years ago
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    thanks ya'll

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