A graphing calculator is recommended Use the Squeeze Theorem to show that lim x2 cos 22 x 0 x 0 Illustrate by graphing the functions f x x g x x cos 22mx and h x x on the same screen Let f x x 2 g x x cos 22mx and h x x2 Then 2 cos 22x s x cos 22mx Since lim f x lim h x by the Squeeze Theorem we have lim X