Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.4 Logarithms, #66 · Calculus · Differentiation rules

The … correction to … yields

The $x^{3}$ correction to $ln (1 + x)$ yields $x - \frac{1}{2} x^{2} + \frac{1}{3} x^{3}$ . Check that $ln 1.01 \approx .0099503$ and find $ln 1.02$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.4 Logarithms, #66

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