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Math Help - Limit Comparison Test

  1. #1
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    Limit Comparison Test

    The three series , , and have terms
    Use the Limit Comparison Test to compare the following series to any of the above series. For each of the series below, you must enter two letters. The first is the letter (A,B, or C) of the series above that it can be compared to using the Limit Comparison Test. For the second letter, enter C if the given series converges, or D if it diverges. So for instance, if you believe the series converges and can be compared with series C above, you would enter CC; or if you believe it diverges and can be compared with series A, you would enter AD.


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    Please help! I am having SUCH a hard time with sum/series, convergence/divergence.

    I have no idea where to even begin.

    All I know is that 1/n is a harmonic series and diverges. If a function contains that series, it is too divergent.

    THANK YOU!!!!
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  2. #2
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    Re: Limit Comparison Test

    Quote Originally Posted by cld1126 View Post
    The three series , , and have terms
    Use the Limit Comparison Test to compare the following series to any of the above series. For each of the series below, you must enter two letters. The first is the letter (A,B, or C) of the series above that it can be compared to using the Limit Comparison Test. For the second letter, enter C if the given series converges, or D if it diverges. So for instance, if you believe the series converges and can be compared with series C above, you would enter CC; or if you believe it diverges and can be compared with series A, you would enter AD.


    1.
    2.
    3.

    Please help! I am having SUCH a hard time with sum/series, convergence/divergence.

    I have no idea where to even begin.

    All I know is that 1/n is a harmonic series and diverges. If a function contains that series, it is too divergent.

    THANK YOU!!!!
    OK, first of all, a rofl emoticon is not appropriate here as this is not a laughing matter.

    You know the harmonic series diverges - good. What about other p-series?

    You also know (though it needs to be stated better) that a series which BEHAVES like the harmonic series also diverges - GOOD. Now which of those series behave like the harmonic series.

    Can you say anything about the behaviour of the other series you were given?
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