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[SPAM] [obm-l] Expansão em série de potencias do logaritmo de uma função



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Qual o modo correto de se expandir em forma de séries de potencias a função ln(1+f(x)) ?
Pensei que o correto seria

ln(1+f) = sum^oo_{n=1} (-1)^n/n! f^n

Mas estou com sérias dúvidas, pois acho que deveria levar em conta as derivadas de f(x).

Desde já agradeço.


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