Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.4 Logarithms, #62 · Calculus · Differentiation rules

Prove that … approaches zero as …, by changing … to

Prove that $y ln y$ approaches zero as $y \to 0$ , by changing $y$ to $1/ x$ . Find the limit of $y^{y}$ (take its logarithm as $y \to 0$ ). What is $. 1^{- .1}$ on your calculator?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.4 Logarithms, #62

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