For each of the following pairs of functions, indicate whether the first function of each of the...

For each of the following pairs of functions, indicate whether the first function of each of the following pairs has a lower, same, or higher order of growth (to within a constant multiple) than the second function.

a. n(n + 1) and 2000n²  b. 100n² and 0.01n³

c. log₂ n and ln n,   d. log²₂ n and log₂ n²

e. 2ⁿ⁻¹ and 2ⁿ   f. (n − 1)! And n!