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1/0 = 1(±∞)


> How many times does zero go into any number? Infinity. [...]

> How many times does zero go into zero? infinity^2?

Zero goes into zero x times, for any real x. Infinity isn't real, therefore neither is infinity^2 so no.


What value does 1/x approach?

What about 2/x?

And then, what about ∞/x? What value would we expect that to approach? ∞(±∞)

It doesn't approach anything, it's unbounded.

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