Ratio Test

  • Thread starter hex.halo
  • Start date
  • #1
13
0

Homework Statement



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

Homework Equations



p= lim┬(n→∞)[a_(n+1)/a_n]

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

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
 

Answers and Replies

  • #2
1,341
3
[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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