Monday, June 1, 2015

∞ * 0

I remember one Incident from a maths class during Bachelor's

The teacher asked a question 'what is infinity multiplied by zero'
To go there. he took some steps
Firstly we know from the usual ruler we use has 10 divisions of 0.1 cm from 0 to 1
So 10 * 0.1 = 1
if we have 20 divisions of 0.05, then
     20 * 0.05=1
continuing this way..

    1000 * 0.001= 1
and so on... we have
     ∞ * 0 = 1  
Now we had taken a finite length of 1 cm to demonstrate the example. But it can be replaced by any finite value.

So it gives, that, infinite divisions of zero length gives any finite value.

So, literally, it means that an infinity is contained in any finite value. On some level, there should be no distinction and comparison of shapes and sizes. 

Well, it was on the top of my head right now.. 

:D