Proof:

We can re-write the infinite series 1/(1*3) 1/(3*5) 1/(5*7) 1/(7*9)

...

as 1/2((1/1 - 1/3) (1/3 - 1/5) (1/5 - 1/7) (1/7 - 1/9) ... ).

All terms after 1/1 cancel, so that the sum is 1/2.

We can also re-write the series as (1/1 - 2/3) (2/3 - 3/5) (3/5 - 4/7)

(4/7 - 5/9) ...

All terms after 1/1 cancel, so that the sum is 1.

Thus 1/2 = 1. Category: Math Jokes Posted On: 10-Jul-2008