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QUESTION
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...
Let G: R→R be twice differentiable 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.)
