1. For each of the following mathematical functions state the equivalent Big-Oh function, keeping in mind the general rules for using Big-Oh as described in the textbook and lecture. Assume very large values for n (i.e., as n approaches infinity).
a. 100n2 + 87
b. 2n3 - 7n
c. 70000000n2 + 40000n + 108
d. (n4 + 2n2 + n) / n (hint: simplify this function first)