1. May 6, 2008 #1

   hex.halo

   

   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

    

   hex.halo, May 6, 2008
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3. May 6, 2008 #2

   Feldoh

   

   [tex]\lim_{n->inf} |\frac{100(n+1)}{2^{n+1}}*\frac{2^n}{100n}| [/tex]
   
   You can cancel stuff, then evaluate the limit.

    

   Feldoh, May 6, 2008

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