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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.2 The Exponential e, #40 · Calculus · Differentiation rules

By comparing slopes, prove that if … then (a) … (b)

By comparing slopes, prove that if $x > 0$ then
(a) $e^{x} > 1 + x$ (b) $e^{- x} > 1 - x$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.2 The Exponential e, #40

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