Thursday, August 29, 2013

Is there a formula to find the product of n natural numbers. For example can I determine the value of 19! by the formula.

We know that Lt n -> infinity n!/ {sqrt(2pi*n)(n/e)^n} =
1.


Therefore n! asymptotically behaves like
sqrt((2pi*n)(n/e)^n.


Therefore n! = sqrt((2pi*n)(n/e)^n
approximately. The formula holds better for large
n.


Ex 19! =
2.12*10^17.


19! = 2.11*10^17 using formula.

No comments:

Post a Comment