1. Sep 17, 2009 #1

   dannysaf

   

   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

    

   dannysaf, Sep 17, 2009
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3. Sep 17, 2009 #2

   VeeEight

   

   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.

    

   VeeEight, Sep 17, 2009

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