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Math Help - convergence question

  1. #1
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    convergence question

    what law to use
    \frac{k+(-1)^k}{k-(-1)^k}
    to find out if it converges or diverges
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  2. #2
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    Re: convergence question

    Hello, transgalactic!

    \text{Converge or diverge? }\:\lim_{k\to\infty}\frac{k+(-1)^k}{k-(-1)^k}

    \text{Divide numerator and denominator by }k:

    . . \lim_{k\to\infty}\frac{1 + \frac{(-1)^k}{k}}{1 - \frac{(-1)^k}{k}} \;=\; \frac{1 + 0}{1 - 0} \;=\;1

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  3. #3
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    Re: convergence question

    Quote Originally Posted by transgalactic View Post
    what law to use
    \frac{k+(-1)^k}{k-(-1)^k}
    to find out if it converges or diverges
    is this the kth term of a sequence or a series?
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