45) Assume that {an } converges. If an > 0 for all n E N, and L 0. n -too c) the interval (2, 7 ) contains no term in {an}, so we may conclude that L * lim an and hence n-+0o that lim an 2 0. d) None of the above. 46) Assume that lim an = L. In showing that the definition of the limit holds, if we are given a smaller e, a) we must generally choose a larger cutoff NEN. b) we must generally choose a smaller cutoff NEN. c) we can always keep the same cutoff NEN. d) None of the above