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This is the question, I have problem with part b, I don't know what function should I use to reach the result thanks in forward enter image description here

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Hint: find $\ln(U(x))$ and then use L'Hopital's rule to find the limit as $\rho\rightarrow0$.

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hint: you are supposed to show the utility function represents the same preferences not that the utility functions are exactly same. Recall that any monotonic transformations of function preserves the original order of preferences. So you only need to show that in the limit one function is monotonic transformation of the other.

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  • $\begingroup$ well actually I tried to use ln to show it but I couldn't find the relation that's what I asked it here, I guess I asked the wrong question $\endgroup$ – Aisa.Imn Nov 25 '19 at 13:18

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