Q7 (10 points) Determine if each statement is true or false. If true, give a proof. If false, explain why, or provide a counterexample. (a) Let f : R > R be a function. Then lim f(x) = 0 if and only if lim|f(x)| = 0. XHI (b) Let f : R > R be a function. Then lim f(x) = L if and only if 1imlx = ILI- XHI (As a reminder, given two statements A, B, the statement "A if and only if B" (or A A("IthhenA") are true.)