Fermi dirac distribution at T->0

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ch3m
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Studying the free electron model I found the fermi dirac distribution and the book told me that when T->0 we have that the fermi energy is equal to the chemical potential... why?
 
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ZapperZ said:
Er... are you sure you read it right? For metals (free electrons), at T=0, the Fermi energy is equal to the chemical potential, not at T>0.

Zz.

with the arrow i mean the limit T=0