Translated natural logarithm

Translated natural logarithm

IB Year 6 | Grade 12

Find the first \(3\) terms of the Maclaurin series \(\mathrm{f}(x) = \ln(1 + x)\).

Solution:

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Answer:\(\ln(1+x)=x-\frac{x^2}{2}+\frac{x^3}{3}+\cdots\) for \(|x|<1\).

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