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Posted: **Thu May 12, 2022 12:20 pm**

: A 15 Points Let F A B R Be A Continuous Function Defined On An Open And Bounded Interval Suppose 11 Ik E 1 (16.29 KiB) Viewed 25 times

a (15 points) Let f : (a,b) + R be a continuous function defined on an open and bounded interval. Suppose 11, ... ,IK E (a,b) are some fixed numbers where k> 2. Prove that there exists some c € (a,b) such that f(01) + f(x2)+...+ f(IR) f(c) = k