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Math Help - Montonically increasing

  1. #1
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    Montonically increasing

    Just a general question.

    Are all monotonically increasing functions divergent?
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  2. #2
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    Quote Originally Posted by dwsmith View Post
    Just a general question.

    Are all monotonically increasing functions divergent?
    how about y = \arctan{x} ?
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  3. #3
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by dwsmith View Post
    Just a general question.

    Are all monotonically increasing functions divergent?
    In fact I just saw this function in another thread.

    f(x) = \frac{x}{|x| + 1}

    This is monotonically increasing, but \displaystyle \lim_{x \to \pm \infty} = \pm 1.

    -Dan
    Attached Thumbnails Attached Thumbnails Montonically increasing-limit.jpg  
    Last edited by topsquark; March 27th 2011 at 12:41 PM. Reason: I'll get this right yet...
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