a. Explanation Given: lim x → 1 x 2 + x − 2 x − 1 Concept Used: L'Hopital's Rule: If f and g are differentiable functions and g ( x ) is nonzero, and if lim x → c f ( x ) g ( x ) is of the indeterminate form, then lim x → c f ( x ) g ( x ) = lim x → c f ′ ( x ) g ′ ( x ) Calculation: To calculate the limit lim x → 1 x 2 + x − 2 x − 1 First see that the putting the limit directly in this function gives lim x → 1 x 2 + x − 2 x − b. To determine To calculate the limit lim x → 1 x 2 + x − 2 x − 1

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

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Chapter 3.6, Problem 15S

To determine

To calculate the limit

limx→1x2+x−2x−1

Using L'Hopital's Rule.

To determine

To calculate the limit

limx→1x2+x−2x−1

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Chapter 3.6, Problem 14C

Chapter 3.6, Problem 16S

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To calculate the limit lim x → 1 x 2 + x − 2 x − 1 Using L'Hopital's Rule.

Solution Summary: The author explains how to calculate the limit using L'Hopital's Rule.

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To calculate the limit

limx→1x2+x−2x−1

Using L'Hopital's Rule.

To calculate the limit

limx→1x2+x−2x−1

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Chapter 3 Solutions

To calculate the limit lim x → 1 x 2 + x − 2 x − 1 Using L'Hopital's Rule.

Solution Summary: The author explains how to calculate the limit using L'Hopital's Rule.

Concept explainers

Videos

To calculate the limit limx→1x2+x−2x−1 Using L'Hopital's Rule.

To calculate the limit limx→1x2+x−2x−1

Want to see the full answer?

Chapter 3 Solutions

To calculate the limit

limx→1x2+x−2x−1

Using L'Hopital's Rule.

To calculate the limit

limx→1x2+x−2x−1