Find the least integer n such that f(x) is O(x n ) for each of these functions. In each case provide appropriate witnesses C and k. Carefully explain your reasoning and clearly state any theorem you...

Find the least integer n such that f(x) is O(x n ) for each of these functions. In each case provide appropriate witnesses C and k. Carefully explain your reasoning and clearly state any theorem you are using.

(a) f(x) = √ x log x + 7x + 2. Hint: For positive values of x, log x < √="">