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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.4 Logarithms, #60 · Calculus · Differentiation rules

Prove that … also approaches zero

Prove that $(ln x) / x^{1/ n}$ also approaches zero. (Start with $(ln x^{1/ n}) / x^{1/ n} \to 0$ .) Where is its maximum?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.4 Logarithms, #60

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