"2 ex: show that the function x2n+2co x o(x) = lim x2 +1 x 00 pes not vanish anywhere in the interval [0, 2], though o(0) and 6(2) differ in sign. wint we have

"2 EX: Show that the function x2n+2cO X o(x) = lim x2 +1 X 00 pes not vanish anywhere in the interval [0, 2], though o(0) and 6(2) differ in sign. Wint We have f(x) = - cos x for 0 x<1: