Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.8 The Mean Value Theorem and l’Hôpital’s Rule, #37 · Calculus · Applications of derivatives

As … l'Hôpital's Rule still applies

As $x \to \infty$ l'Hôpital's Rule still applies. The limit of $f (x) / g (x)$ equals the limit of $f^{'} (x) / g^{'} (x)$ , if that limit exists. What is the limit as the graphs become parallel in Figure B?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.8 The Mean Value Theorem and l’Hôpital’s Rule, #37

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