0乘∞!!!!!!

All real numbers multiplied by 0 is equal to 0.
However, ∞ is an infinite quantity to which no real numbers is comparable. When multiplied by 0 (nothing), we do not know whether it is nothing (0) or still infinitely large (∞).

[As n -> ∞, n -> ∞ and 1/n -> 0, but n(1/n) = 1
but 2/n also tends to 0, but n(2/n) = 2,
before knowing how 'large' the '∞' is or how 'small' the '0' is, we do not know the value of 0‧∞, so we say it's value is indeterminate.]

0 * ∞ is of course inderminate and is not allowed, in fact you can't really treat ∞ as a
real number to multiply it by another real number including 0. Infinity is a limit,
e.g. f(x) = 1/x, as x -> 0+, f(x) -> ∞. But if we define g(x) = 0 * f(x) = 0, and then as x -> ∞, g(x) -> 0 * ∞ = 0 f So make sure you know that 0 * ∞ is not allowed.

∞=無限
but 0．∞ = 0