How to mathematically prove infinity x zero = zero? Please use equations to prove it.?

Consider something like

lim x->2 {(x-2)*1/(x-2)}.

The first multiplicand (x-2) has a limit of 0 when x -> 2,

and the second multiplicand 1/(x-2) has a limit of infinity when x->2.

In this particular case, the limit of the product of is 1,

but in other cases, the limit of the product could be anything from 0 to infinity. A form "infinity times zero" is known as an "indeterminate form," and whether it has any meaningful value must be investigated by further algebra or L'Hopital's Rule or some more sophisticated method.

Infinity is not a number. You cannot perform arithmetic operations with it. You have a fundamental misunderstanding somewhere. Your question is meaningless.

One can NOT PROVE something that is NOT TRUE !!

http://www.math.fsu.edu/~bellenot/class/f99/cal1/i...