Question

How do we proove when a number is divided by 0 then the answer is infinite or not defined

Answer 1

0/0 is Indeterminate not Undefined

Undefined are those who don’t obey the definition of divide of real Number (a / b = c where b not equal to zero). Indeterminate are those fact,which mathematics can’t determine.

Because we don’t actually know which one is the exact answer for this due to having lots of results for this.let me explain,

lets think by this analogy that,

0 / 1 =0

0 / 2 =0

…………

………..

we can say 0 / n = 0 from this we can write, 0/0 = 0

Again, another analogy,(from limiting concept of 1/0 = infinity)

1 / 0 = +∞ or -∞

2 /0 = +∞ or -∞

………

……….

we can say 0 / 0 = ∞

Again, another analogy,

1 / 1 = 1

2/2 = 1

………..

………..

we can say, 0/0 = 1

Now, you see it’s confusing. Every analog is mathematically correct then which one is the right answer for 0/0 therefore Mathematics can’t determine this fact.

So, 0/0 is indeterminate