MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.2 The Exponential e, #25 · Calculus · Differentiation rules

Invent three functions … such that for …

Invent three functions $f, g, h$ such that for $x > 10$
$(1 + 1/ x)^{x} < f (x) < e^{x} < g (x) < e^{2 x} < h (x) < x^{x}$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.2 The Exponential e, #25

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