The problem is:

Suppose f(x) is a strictly concave function. Prove that x=o(f^(-1)(x)).

Do you have any suggestions on how to prove this?

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- Mar 18th 2011, 12:22 AMbatmanConcave function and little-oh
The problem is:

Suppose f(x) is a strictly concave function. Prove that x=o(f^(-1)(x)).

Do you have any suggestions on how to prove this? - Mar 18th 2011, 07:36 AMOpalg
- Mar 21st 2011, 02:09 AMbatman
Sorry, I didn't copy the exercise properly from the blackboard. It should have been:

Suppose is strongly concave. Then, as .

The function you mention is strictly concave, but nog strongly concave. Thank you anyway. - Mar 21st 2011, 02:48 AMOpalg