Why is infinity by infinity not 1?

Answer 1

It is not 1 because infinity is a theoretical number and not a real number.

Infinity never ends therefore you could never say these X / Y have the same value since both are forever.

Answer 2

Any non zero number divided by itself equals 1. However, infinity is not a number in the sense that it does not have a value. It is a concept for describing a large number that is greater than anything. Therefore, infinity divided by infinity is not equal to 1.

Answer 3

There are several results when we calculate
Those are depend on the increasing rate of a over b (a/b, here both of a and b are infinity)

results maybe classified into 4...
infinity,c,1,0............... (here c is constant which is not 0 and 1)

for ex,
lim(x->infinity) [(x+1)/(x+10)] = 1
lim(x->infinity) [(x+1)/(x^4-4)] = 0
lim(x->infinity) [(x^5+3)/(x^2)] = infinity
lim(x->infinity) [(10*x+5)/(x+4)] = 10

You can easily get it...

Answer 4

Because it would lead to contradictions. If you add something to infinity, you still have infinity, but if you divide the new number by the old, the result cannot be 1.

Answer 5

infinity by infinity is not 1, because one infinity is not equal to the other infinity. Not all infinities are equal!!! All of them are different!!!

Answer 6

infinity divide infinity is 1 , but the multiplication of them is infinity

Answer 7

because infinity by infinity is undefined term as 0/0.

Answer 8

infinity / infinity is an indeterminant form its value is not known

Answer 9

Here is an explanation for you.

http://bellsouthpwp2.net/b/e/benichou/Infinity_Divided_by_Infinity.html