Hi everyone,

I stumbled upon this CES utility function, and I'd like to calculate the limit for of this function.

I know that with a "standard" CES Utility function of the form

it is easy to do via L'Hôpital, and the limit is a Cobb-Douglas utility function.

Does anyone have an idea how to find the limit of the first equation ?

Has anyone seen such a CES utility function before?

Thanks a lot

Cheers,

ElBotas