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Homework Help: Limit of a Sequence

  1. Oct 11, 2007 #1


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    Find the limit of the sequence whose terms are given by

    an = ( [1/(e^(4n)+n^2)] )^1/n

    I am not really sure how to approach this problem.

  2. jcsd
  3. Oct 11, 2007 #2
    Try the binomial expansion of denominator and apply the limits to each term (don't forget that you always can use the L'Hopital rule for those limits). I guess the that the limit is 1/e^4.
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