• anonymous
Estimate the error, as a function of x, in approximating $ln(x+1)$ as $x-\frac{x^2}{2}+\frac{x^3}{3}-\frac{x^4}{4}$. That is, what is $ln(x+1)- (x-\frac{x^2}{2}+\frac{x^3}{3}-\frac{x^4}{4})$, or $\frac{x^5}{5}-\frac{x^6}{6}+\frac{x^7}{7}.....$ expressed in a more compact form?
Mathematics

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