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Math Help - Limit of Sequences

  1. #1
    Member OnMyWayToBeAMathProffesor's Avatar
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    Limit of Sequences

    Hello,

    i have to determine whether the sequence converges or diverges. If it converges, i have to give the limit. This is the problem I am stuck on.

    \frac{3n+2}{5-2n}

    the answer i got was it converges on -\frac{3}{2} but when i graph it, it doesn't seem to work. I got -\frac{3}{2} by taking the ratio of the leading coefficients since the degree is equal. Did I make a mistake anywhere?

    Any would would be greatly appreciated.

    Thank You
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by OnMyWayToBeAMathProffesor View Post
    Hello,

    i have to determine whether the sequence converges or diverges. If it converges, i have to give the limit. This is the problem I am stuck on.

    \frac{3n+2}{5-2n}

    the answer i got was it converges on -\frac{3}{2} but when i graph it, it doesn't seem to work. I got -\frac{3}{2} by taking the ratio of the leading coefficients since the degree is equal. Did I make a mistake anywhere?

    Any would would be greatly appreciated.

    Thank You
    you are correct. that's the limit

    the graph looks fine to me. it vindicates that result
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  3. #3
    Member OnMyWayToBeAMathProffesor's Avatar
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    reply

    thank you very much for your confirmation of my results.
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