Explanation Given: The limit: lim x → 0 x 2 − 2 x 3 x − 2 Key concepts applied: If the limit lim x → a f ( x ) g ( x ) is in 0 0 or ∞ ∞ form upon direct substitution, then according to L’hopitals rule, we can write: lim x → a f ( x ) g ( x ) = lim x → a f ' ( x ) g ' ( x ) Calculation: Let us first try to substitute the limit directly and see if we get one of the desired forms necessary for application of L’hopitals rule...

4th Edition

ISBN: 9781319379421

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 4.5, Problem 1PQ

To determine

What is wrong with applying L’hopitals rule to $\lim_{x \to 0} \frac{x^{2} - 2 x}{3 x - 2}$

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Chapter 4.4, Problem 78E

Chapter 4.5, Problem 2PQ

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Chapter 4 Solutions

CALCULUS 4E (HC) W/ ACHIEVE ACCESS

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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Knowledge Booster

What is wrong with applying L’hopitals rule to lim x → 0 x 2 − 2 x 3 x − 2

What is wrong with applying L’hopitals rule to limx→0x2−2x3x−2

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Chapter 4 Solutions

What is wrong with applying L’hopitals rule to $\lim_{x \to 0} \frac{x^{2} - 2 x}{3 x - 2}$