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How to find a limit?

  1. May 15, 2012 #1
    this may seem like a stupid questions but i'm trying to teach myself basic calculus so I have to start from the very beginning. the question I have is as follows; lim= x -> infinity for 4x^6-6x^5+3x^4 / 7x^5-6x^4+2x^3. (^ mean 'power of') So I read that "because the numerator's degree '6' > the denominators degree '5', the limit diverges". What does that mean, and how does it help me find the limit?
    thanks in advance for any help you can give :)
     
  2. jcsd
  3. May 16, 2012 #2

    tiny-tim

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    Hi Gregory.gags! :smile:

    (try using the X2 button just above the Reply box :wink:)
    Rewrite it as x6(4 - 6x-1 + 3x-2)/x5(7 - 6x-1 + 1x-2) :wink:
     
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