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let-f-0-1-R-prove-that-x-0-x-1-x-2-0-1-such-that-f-x-0-x-0-2-f-x-1-2x-1-2-3f-x-2-




Question Number 140392 by mathdanisur last updated on 07/May/21
let f:[0;1]→R, prove that ∃x_0 ,x_1 ,x_2 ∈(0;1)  such that  ((f(x_0 ))/x_0 ^2 )+((f(x_1 ))/(2x_1 ^2 ))=3f(x_2 )
letf:[0;1]R,provethatx0,x1,x2(0;1)suchthatf(x0)x02+f(x1)2x12=3f(x2)

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