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the last equation should be (tanh(\beta J))^n

pls see the attachments about the problem

Homework Statement question: b,c,d,e Homework Equations possion's equation The Attempt at a Solution I try to solve the problem 1 of Chap.29 on the text: Solid State Physics,Ascroft & Mermin but when I cannot solve after quesion (a). so, anyone, pls help me or give some...