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'H˘pital, 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