The
New Formula For Computing Constant ln(2)

[ln(2) = log(2) = 0.69314718055994530941723212145817…]

The following new infinite series is discovered and used to compute the
constant ln(2) to billions of decimal places.

.

Notice that the base of above infinite series is

, where k=0,1,2,3,…

(August 1, 2006)

Click here to view this formula in full window size. See log 3.