Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.8 The Mean Value Theorem and l’Hôpital’s Rule, #23 · Calculus · Applications of derivatives

For … and …, the ratio … approaches 4 as

For $f = x^{2} - 4$ and $g = x + 2$ , the ratio $f^{'} / g^{'}$ approaches 4 as $x \to 2$ . What is the limit of $f (x) / g (x)$ ? What goes wrong in l'Hôpital's Rule?

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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, #23

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