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

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,...g(x)=f^1998(x)`, then `int_(1/e)^1 g(x)dx` is equal to

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