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Infinite Sequence and Series

  1. Nov 13, 2009 #1
    Got a couple questions please help!!

    1. lim n>inf (x^4)/(e^(-2x))

    How do you do this one??? i know you use L hospital rule but you can never get rid of the denominator. or is there a trick i am missing???

    2. Determine whether the sequences are increasing, decreasing, or not monotonic.
    1.(cos(x))/(3^x)
    2.(x-3)/(x+3)
    3.1/(3x+6)

    can you explain what to do with this one???
     
  2. jcsd
  3. Nov 13, 2009 #2

    LCKurtz

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    You mean x --> infinity? Why would you use L'Hospital's rule? You have an infinity / 0 form.
    You could look at their derivatives.
     
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