Maclaurin Series and Power Series - Maclaurin Series by Successive Differentiation

Maclaurin Series and Power Series - Maclaurin Series by Successive Differentiation

TGM Original Questions

By successive differentiation, find the Maclaurin’s series for \(\ln (1+2x)\) up to the term \({{x}^{3}}\).

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Answer:\(\displaystyle \ln(1+2x)=2x-2x^2+\frac{8}{3}x^3+O(x^4)\)

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