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I have problem with the calculation the error caused by the lagrange inversion. Hence, accroding to Lagrange theorem if f(w)=z it is possible to find w=g(z) where g(z) is given by a series. I wonder, if I consider up to N-th term in the Lagrange series, what will be the error caused by this consideration? should it be given by (N+1) term?

Thanks for your recommendation.

http://en.wikipedia.org/wiki/Lagrange_inversion_theorem

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# The error caused by the lagrange inversion

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