-rep hacker noob than all pt´s :)

As several others have pointed out, ∞∞ is not a number. So you need to deal it with a bit of care.

To clarify your doubt, the way you have written is to look at n×0n×0 and then let n→∞n→∞. So it is true that

limn→∞(n×0)=0
limn→∞(n×0)=0

However, when people write ∞×0∞×0 usually it is a shorthand to denote the indeterminate form when some quantity tends to infinity and some other quantity tends to zero in a limiting sense i.e. expressions of the form
limx→0(f(x)×g(x))

limx→0(f(x)×g(x))
where limx→0f(x)=∞limx→0f(x)=∞ and limx→0g(x)=0limx→0g(x)=0.

Hence, you cannot associate a unique value to ∞×0∞×0. It depends on the problem at hand. You can read more about indeterminate form here. (As always with wikipedia, read it just to get a general overall idea.)

alex cabrao benfica campeao

-rep hack

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