Proving expression with limits

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If a is much greater than b, it can be stated that b/a approaches 0 as a increases. This can be supported by the limit concept, where the limit of b divided by an infinitely large a equals 0. However, the argument hinges on the assumption that a is indeed very large, which is not explicitly given in the problem. The relationship between a and b alone does not guarantee that a is infinite. Thus, while the limit can be intuitively understood, a formal proof requires additional context about the size of a.
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Homework Statement



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

Can we prove it with limits?
 
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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.
 
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.
 

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