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Find LIMIT n→∞ Xn!

  1. Sep 17, 2009 #1
    Consider the sequence xn in which xn = 1/2(xn−1 + (3/xn-1) and x1 = a
    (a not equals 0). Find lim n →∞ xn
     
  2. jcsd
  3. Sep 17, 2009 #2
    If you do not need to show that the limit actually exists, then you can go straight to finding it algebraically. Notice that the lim x_n is the same as lim x_(n-1) (as n tends to infinite). You can use this to find your limit.
     
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