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Math Help - Series Statements

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    Series Statements

    Problem solved thanks jhevon
    Last edited by jarny; April 23rd 2009 at 10:00 PM.
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by jarny View Post
    I have to fill in the blanks with either may or must and I'm having trouble with these statements. I have to explain my answer by referring to a theorem or example as well:

    1. A series that converges _____ have summands that tend to zero.
    think about the test for divergence, what does it say?


    2. If the partial sums of an infinite series are bounded, then the series ____ converge.


    Thanks for the help in advance
    consider \sum_{n = 0}^\infty (-1)^n
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  3. #3
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    Okay, so they are both may?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by jarny View Post
    Okay, so they are both may?
    the second is a "may", the first is not. the first is "must", do you see why?
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