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How do you find a limit as it aproaches infiniti

  1. Aug 30, 2007 #1
    1. The problem statement, all variables and given/known data
    limit x->infiniti sinx=


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Aug 30, 2007 #2

    rock.freak667

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    as x-->infinity values of sinx fall between 1 and -1 meaning that as x approaches infinity, sinx doesn't approach a specific value and so the limit doesn't exist
     
  4. Aug 31, 2007 #3

    HallsofIvy

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    I was sorely tempted to say that the limit as "it" approaches infinity must be infinity!

    Of course, you mean the limit as x approaches infinity. As rock.freak667 said, look at what happens to sin(x) as x gets larger and larger- no matter how large x is, sin(x) keeps varying between -1 and 1. It does not "approach" and one number and so there is no limit.
     
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