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Math Help - Infimum example

  1. #1
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    Infimum example

    The example I have is,

    $\inf \{ (-1)^n + \frac{1}{n}: n = 1,2,3,... \}=-1$

    Why is it -1 and not 0?
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  2. #2
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    Re: Infimum example

    Because for any odd n>1, (-1)^n + \dfrac{1}{n}< 0.
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  3. #3
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    Re: Infimum example

    Quote Originally Posted by SlipEternal View Post
    Because for any odd n>1, (-1)^n + \dfrac{1}{n}< 0.
    Ah OK I'm looking at it from the wrong direction.
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