Sociology homework help. True or False? For each of the following statements, say if it is true or false. If it is true, give a proof.If it is false, give a counterexample(a) If lil’? ?x} exists and lim g(x) does not exist, then lim (f(x)g(x)) does not exist. IH: IN. IH? {b} It lim?x} exists and lim(f(x) g(x}) exists, then lint g(x) exists. IH. IHI IJC {c} If mf?xl = m and ?msm = no: men ?mUtx} g(x)} = o IHL 3H: 1H? {d} If lim(f(x} +g(x) + h{x}) exists, then at least one of the limits lm1f(x},lri$g[x), limh(x) exists. 1HT IHC xm (e) If f(c] exists, then ?u} exists.