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Homework Help: More limits

  1. Jan 8, 2009 #1
    1. The problem statement, all variables and given/known data

    What is the limit of the following sequence, if it exists?

    2. Relevant equations

    a(n)=[n+(-1)^n. sqrt(n)]/[(n^2 +1)^1/2]
    3. The attempt at a solution

    Can i use l'hopitals rule? Or if not, how should i do this particular question?
  2. jcsd
  3. Jan 8, 2009 #2
    I'd imagine as [tex]n \rightarrow \infty[/tex]?

    In that case, looks like it's going to oscillate back and forth dwindling down to 1.
  4. Jan 8, 2009 #3
    Yea....as n tends to infinity. What were your steps to working out that it tends towards 1?
  5. Jan 8, 2009 #4


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    Science Advisor
    Homework Helper

    Divide the numerator and the denominator by n. Think about the behavior of each term.
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