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Let G: RR be twice dierentiable such that for all x R,G''(x) 1 Prove that G(2)2G(3)+G(4)+G(5)2G(6)+G(7) 2 (Hint: 3 and 6 are special. Try to

Let G: RR be twice dierentiable such that for all x R,G''(x) 1

Prove that G(2)2G(3)+G(4)+G(5)2G(6)+G(7) 2

(Hint: 3 and 6 are special. Try to use them as centers in Taylor's theorem.)

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