If you tried to write out infinity, it would take an infinite amount of zeros. Seriously, infinity is unimaginably big, and then some - that's the point. It is absurdly huge. You think the national debt is big, but that's just peanuts compared to infinity.
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You can not divide by zero - it is not defined. Presumably you get infinity, but there are different types of infinity.
It remains as zero
In mathematics, the expression "zero times infinity" is considered an indeterminate form, meaning it does not have a definitive value. This is because the product of zero and any finite number is zero, but the product of zero and an infinitely large number could potentially approach a non-zero value. In different contexts and mathematical systems, the result of zero times infinity may vary or be undefined.
When any number is multiplied by zero, the product is zero.
Division by zero is undefined because when the limit of 1/x is taken from the positive side of the graph it approaches infinity but when it approaches from the negative side it is negative infinity; thus, becoming an infinite discontinuity this kind of discontinuity makes it undefined. Hope this helps You learn about limits in Calculus. -Joshua Garrison