A graphing calculator is recommended. Use the Squeeze Theorem to show that lim x → 0 (x2 cos 19πx) = 0. Illustrate by graphing the functions f(x) = −x2, g(x) = x2 cos 19πx, and h(x) = x2 on the same screen. Let f(x) = −x2, g(x) = x2 cos 19πx, and h(x) = x2. Then ≤ cos 19πx ≤ right double arrow implies ≤ x2 cos 19πx ≤ . Since lim x→0 f(x) = lim x→0 h(x) = , by the Squeeze Theorem we have lim x→0 g(x) = .