# Ratio Test

1. May 6, 2008

### 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

2. May 6, 2008

### Feldoh

$$\lim_{n->inf} |\frac{100(n+1)}{2^{n+1}}*\frac{2^n}{100n}|$$

You can cancel stuff, then evaluate the limit.