Proving expression with limits

[mlazos]

Homework Statement

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

Can we prove it with limits?

 

[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.

 

[mlazos]

Well we only know the relation between a and b! We can't know that a is very large, we know that a is much much greater than b.