deo, (edited )

for $1 bills: lim(x->inf) 1*x

for $100 bills: lim(x->inf) 100*x

Using L’Hôpital’s rule, we take the derivative of each to get their ratio, ie: 100/1, so the $100 bill infinity is bigger (since the value of the money grows faster as the number of bills approaches infinity, or said another way: the ratio of two infinities is the same as the ratio of their rates of change).

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