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Math Help - Find ending behavior (Calculus)

  1. #1
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    Find ending behavior (Calculus)

    Find ending behavior of

    f[x_]=x - Floor[x] - (1/2)

    F[x]: is the greatest integer in Mathematica.

    I know we have to find the limit
    Limit[f[x], x -> ∞]
    Limit[f[x], x -> -∞]

    Can somebody give me instruction on how to answer this please...
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by camherokid View Post
    Find ending behavior of

    f[x_]=x - Floor[x] - (1/2)

    F[x]: is the greatest integer in Mathematica.

    I know we have to find the limit
    Limit[f[x], x -> ∞]
    Limit[f[x], x -> -∞]

    Can somebody give me instruction on how to answer this please...
    These limits do not exists as f is a saw tooth varying between -1/2 and +1/2
    over the inteval [n, n+1] for all integers n.

    RonL
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  3. #3
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    Thank you very much Captain Black !
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