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How to start with this math limit

  1. Dec 16, 2007 #1
    1. The problem statement, all variables and given/known data
    lim 2^n/(2^n + 2)
    n[tex]\rightarrow[/tex][tex]\infty[/tex]

    lim (1/2n) + 2n/(3n+1)
    n[tex]\rightarrow[/tex][tex]\infty[/tex]

    2. Relevant equations



    3. The attempt at a solution

    I really have no idea where to start from so if you would like to give me some hints, I will be very pleased.
     
    Last edited: Dec 16, 2007
  2. jcsd
  3. Dec 16, 2007 #2

    Hootenanny

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    Staff Emeritus
    Science Advisor
    Gold Member

    A good quick tip for limiting cases is to divide both the numerator and denominator through by the highest power. So for the first one you would divide through by 2n.
     
  4. Dec 16, 2007 #3
    Thanks to that tip, I just solved the first one :).
     
    Last edited: Dec 16, 2007
  5. Dec 16, 2007 #4
    there are 3 things you should know about limits

    1. if the higher power is in the numerator, it will go to infinity

    2. if the higher power is in the denominator, it will go to zero

    3. if the power in both the numerator and denominator is the same, the coefficients infront of the highest powers is the limit
     
  6. Dec 17, 2007 #5

    Gib Z

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    Homework Helper

    For the quotients of polynomials that is, limits aren't always so nice for other things =]
     
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