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![microeconomics - How can I prove $U(x) = [πΌ_1π₯_1^π+πΌ_2π₯_2^π]^{(1/π)}$ is equal to Cobb-douglas Utility function when $π\rightarrow0$ - Economics Stack Exchange](https://i.stack.imgur.com/ZgsW1.png "microeconomics - How can I prove $U(x) = [πΌ_1π₯_1^π+πΌ_2π₯_2^π]^{(1/π)}$ is equal to Cobb-douglas Utility function when $π\rightarrow0$ - Economics Stack Exchange")
microeconomics - How can I prove $U(x) = [πΌ_1π₯_1^π+πΌ_2π₯_2^π]^{(1/π)}$ is equal to Cobb-douglas Utility function when $π\rightarrow0$ - Economics Stack Exchange
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