# Proving expression with limits

1. Oct 11, 2007

### mlazos

1. The problem statement, all variables and given/known data

If $$a>>b$$ is it correct to say that $$\frac{b}{a} \rightarrow 0$$

Can we prove it with limits?

2. Oct 11, 2007

### LRoy12

you can say that if lim a-> infinity, that b/infinity = 0 because any number divided by an extremely large number (in this case infinitively large) is 0.

3. Oct 11, 2007

### mlazos

Well we only know the relation between a and b! We cant know that a is very large, we know that a is much much greater than b.