anynumber/infinity=0 how to prove it

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Let's call our "anynumber" n.  As n gets smaller and smaller, it becomes increasingly insignificant in relation to the denominator.  Thus, the limit of n as n approaches 0 = 0.

Now, let's look at what happens when n becomes infinitely large:  One would think that infinity divided by infinity = 1.  However, we must remember that "infinity" is not a specific number, so our general rule does not apply here.  The detailed proof of infinity/infinity=0 is in the attached reference link.

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