(2) Stirling's formula is given by the following, depending on the accuracy you need:* In N! N In N - N or, +즐 In N! ≈ N ln N − N + √ln(2´N) 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? *(Aside: Actual Stirling's formula is for gamma function П(z) ≈ FO where z is a complex number, and П(n + 1) = n! for nЄ N.)

(2) Stirling's formula is given by the following, depending on the accuracy you need:* In N! N In N - N or, +즐 In N! ≈ N ln N − N + √ln(2´N) 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? *(Aside: Actual Stirling's formula is for gamma function П(z) ≈ FO where z is a complex number, and П(n + 1) = n! for nЄ N.)