Question: (4) Let f be a continuous function on the set of real numbers R such that x rcosr < f(x) < V 2 for

(4) Let f be a continuous function on the set of real numbers R such that x rcosr < f(x) < V 2 for every r E (0, 1]. Prove that (i) (5 points) f(0) = 0. (ii) (10 points) There is c e (0, 1) such that f(c) +1 =c+y

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