MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.4 Logarithms, #57 · Calculus · Differentiation rules

Why is … near

Why is $\frac{1}{2} + \frac{1}{3} + \dots + \frac{1}{n}$ near $ln n$ ? Is it above or below?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.4 Logarithms, #57

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