ii) Let g : R - R be a continuous function such that tanh x

ii) Let g : R IR be a continuous function such that tanha g(x) ex 1 a) Which of the following limits MUST exist? (select all that apply) lim g(x) lim g(x) lim g(x) O lim g(x) o 1 1 for all x e R o o b) Which of the following statements are necessarily TRUE, bearing in mind that g is a continuous function? (select all that apply) g(x) + oo as + DO lim g(x) 1 14 tanh(14) < lim g(x) < e g(x) + oo as + DO lim g(x) 2 1 14 lim g(x) e lim g(x) = 0 lim g(x) 1 lim g(x) = 0