Recent content by Armbru35

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    Combinatorics: solving for coefficient of x^n term

    Ahhh...I was confused for a second but I was doing the binomial theorem wrong. Thank you so much that helped tremendously!
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    Counting Number of Possible Hand Gestures

    Hi All, I'm terribly stuck on this problem. We were asked to calculate how many hand gestures are possible, keeping in mind that a hand gesture consists of raising one or both hands and extending some fingers (note: raising just a fist is also considered a gesture). I started this problem by...
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    Combinatorics: solving for coefficient of x^n term

    Hi, I'm currently taking a Discrete Mathematics class and cannot seem to work out this one problem, we need to find the x^10 term in order to determine its coefficient of the equation f(x)=(x+x^2+x^3+x^4+x^5+x^6)^3 I know the answer is to be 27 from a previous problem (we are to use this method...
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    Analysis Help: Limit Points of a Sequence

    I guess I thought the limit of infinity/infinity would be 0, but now that I look at it more I feel like the limit would be 2, and because we have the (-1) in front, would the limits be -2 and 2?
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    Analysis Help: Limit Points of a Sequence

    Hi, I am asked to find the limit points of the given set A A={((-1)^n)(2n/(n-4))} so far I think 0 is a limit point, but I can't figure out if there are any more than just that one. I believe every point in A is an isolated point, and that this set is open because every point in A...
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    Proving the Non-Negativity of a Decreasing Sequence with Limit 0

    Analysis Proof Help! If anyone could give me a hint on how to start this I would appreciate it! I am struggling with proofs! Thanks! Given a sequence (asub(n)) s.t. (i) the sequence is decreasing (ii) the limit of the sequence is 0. Prove rigorously that an is greater than or equal to 0...
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