Friday, March 15, 2013

Neat

Let
x = 0.9999.....           (1)

Multiply both sides by 10
10x = 9.9999....        (2)

Subtract (1) from (2)

LHS: 10x - x = 9x
RHS: 9.9999... - 0.9999.... = 9

as LHS=RHS, 9x = 9
so x = 1
but as per (1)  x = 0.9999....

So 1 = 0.9999.....

[No trick. This is actually important].

1 comment:

Prasad Musale said...

1/9 = 0.9999...

9*1/9 = 9*0.9999...

1 = 0.9999

End of day.... We are f**ked up!