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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- Apr 27th 2010, 07:35 AMzassproperty of cost function
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 - May 24th 2010, 05:00 AMGeoC
Yes. The condition that the curve is concave over the entire interval means c''(0) is finite. Thus c'(0)/c''(0) = 0.