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.
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