Please, help me. I consider a real valued fanction C(q) such that C(q) is continious, increasing, concave on the closed interval [0,Q] in R1, C(0)=0, C'(0)=0. Does it imply that C'(q)/C''(q)->0 when q->0 ? Thanks in advance
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Yes. The condition that the curve is concave over the entire interval means c''(0) is finite. Thus c'(0)/c''(0) = 0.
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