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Math Help - Calculus: Art Of Problem Solving (1)

  1. #1
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    Calculus: Art Of Problem Solving (1)

    Note: Level of difficulty: the lowest is \star and the highest is \star \star \star \star \star. Have Fun!


    \star \star Problem 1: Let a_n=n\ln \left(1 + \frac{1}{n} \right), \ n \in \mathbb{N}. Evaluate \left \lfloor \frac{a_n}{1-a_n} \right \rfloor.
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    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by NonCommAlg View Post
    Note: Level of difficulty: the lowest is \star and the highest is \star \star \star \star \star. Have Fun!


    \star \star Problem 1: Let a_n=n\ln \left(1 + \frac{1}{n} \right), \ n \in \mathbb{N}. Evaluate \left \lfloor \frac{a_n}{1-a_n} \right \rfloor.
    Wait, is it still a limit? You had a limit, are you using the conveniton that a non-descript limit should be taken as going to infinity?
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    Quote Originally Posted by Mathstud28 View Post
    Wait, is it still a limit? You had a limit, are you using the conveniton that a non-descript limit should be taken as going to infinity?
    no, it's not a limit. (i changed the problem because that was too easy!)
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