Monday 30 January 2017

Math : 0/0,1/0

1/0 is undefined

Let us assume
1/0.1 = 10
1/0.01 = 100
1/0.0001 = 1000
.
.
.
So the value keeps on increasing
In this case we can say 1/0 = infinity (endless)

Let's assume negative value

1/-0.1 =-10
1/-0.01 = -100
.
.
.
So in this we can say 1/0 = -infinity

We cannot able to define the value

Hence 1/0 is undefined.


0/0 is indeterminate ( could be any value )

Let's assume the closer value of 0

0.1/0.1 = 1
0.01/0.01 = 1

In this case we gets 0/0=1

Now let's keep the numerator as 0 and assume denominator value closer to 0

0/0.1=0
0/0.01=0

In this case we gets 0/0=0

So 0/0 be any value that is 0 or 1

Hence 0/0 is indeterminate

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