Review for Final Exam - Math 3034 1. For each of the following, give both the negation and the contrapositive of the implication in written form (not symbolic form). (a) For every real number a", if 0 7 then It: 3| > 4. (d) For every real number 3:, if :53 413$:2 a: + 4 = 0 and I: > 0 then either as = 1 or as = 4. 2. Denitions: (a) A positive integer m is the least common multiple of the integers a, and I) provided a, divides m and b divides m and for every integer k, if a, divides k and b divides k then m divides k. Complete the following: A positive integer m is NOT the least common multiple of the integers a and b provided. .. (b) For a function f and real numbers a, and L, lim at") : L provided for ill>0; every positive real number 6 there exists a positive real number 5 such that for every real number a", if |rr al