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If f(x)=(x-1)/(x+1), f^2(x)=f(f(x)), …f^...

If `f(x)=(x-1)/(x+1), f^2(x)=f(f(x)), …f^(k+1)(x)=f(f^k(x)),k=1,2,3,…` then `-4int_(1/e)^1f^2010(x)dx=…`

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