Once, years ago, I found myself at a party talking about what it would mean to divide by zero. (No wonder I was terminally single at the time!) I explained that, while we can’t divide by zero, we can think of approaching a divisor of zero, and see what happens. Think first of dividing 1 by 1, to get 1/1, or 1. Now divide 1 by 0.1, to get 10. Continue on to divide 1 by 0.01 to get 100, and 1 by 0.001 to get 1000. You can see that if you continue on like this, the smaller the divisor gets, the larger the ratio gets.
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