2. Do not use integrals for this problem. Do not worry about oors and ceilings (so you may assume that n is \"nice\"). Ignore second order terms. Consider i319? . k:1 (a) Split the sum into two equalsized regions to obtain an upper bound for its value. (b) Split the sum into two equalsized regions to obtain a lower bound for its value (as done in class). (c) Show how to obtain a better upper bound by splitting the sum into two unequalsized regions. Make your bound as tight as possible. How does your bound compare with the upper bound obtained in Part (a)? (d) Show how to obtain a better lower bound by splitting the sum into two unequalsized regions. Make your bound as tight as possible. How does your bound compare with the lower bound obtained in Part (b)? 3. (a) Use the integral method to obtain upper and lower bound bounds for Z 3192 . k=1 (b) How do your bounds compare with those obtained in Problems 20 and 2d? (c) How do your bounds compare with the exact polynomial in Problem 1