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Ratio Test

  1. May 6, 2008 #1
    1. The problem statement, all variables and given/known data

    Use the ratio test to determine convergence or divergence of 100n/2^n

    2. Relevant equations

    p= lim┬(n→∞)[a_(n+1)/a_n]

    p<1 ,convergent
    p>1 ,divergent
    p=1 ,ratio test fails

    3. The attempt at a solution

    I'm not even sure if i'm doing this right, but i get:

    lim┬(n→∞)[(100_(n+1)/2^(n+1))(2^n/100n)]

    and I don't know how to proceed from there
     
  2. jcsd
  3. May 6, 2008 #2
    [tex]\lim_{n->inf} |\frac{100(n+1)}{2^{n+1}}*\frac{2^n}{100n}| [/tex]

    You can cancel stuff, then evaluate the limit.
     
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