(3) Stirling's formula is given by the following, depending on the accuracy you need:* In N! = N (ln N – 1) or, 1 In N! - N (In N – 1) +,In(2nN). Evaluate the accuracy of these formulas for N = 5, 10, 20, 60. Is it reasonable to expect the same accuracy for both formulas at very large N ? 2n *(Aside: Actual Stirling's formula is for gamma function r(z) = ,where z is a complex number, and r(n + 1) = n! for n E N.)

(3) Stirling's formula is given by the following, depending on the accuracy you need:* In N! = N (ln N – 1) or, 1 In N! - N (In N – 1) +,In(2nN). Evaluate the accuracy of these formulas for N = 5, 10, 20, 60. Is it reasonable to expect the same accuracy for both formulas at very large N ? 2n *(Aside: Actual Stirling's formula is for gamma function r(z) = ,where z is a complex number, and r(n + 1) = n! for n E N.)