Explanation Given: lim x → − 1 x 2 + x x 2 − 1 Formula used: lim x → c [ f ( x ) g ( x ) ] = lim x → c f ( x ) lim x → c g ( x ) , provided that lim x → c g ( x ) ≠ 0 a 2 − b 2 = ( a + b ) ( a − b ) Calculation: For f ( x ) = lim x → − 1 x 2 + x x 2 − 1 , at f ( − 1 ) , the value is 0 / 0 which is undefined, so we have to simplify it...

11th Edition

ISBN: 9780135189405

Author: Michael Sullivan

Publisher: PEARSON

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Chapter 14.2, Problem 30AYU

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To find: $lim_{x \to - 1} \frac{x^{2} + x}{x^{2} - 1}$

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Chapter 14.2, Problem 29AYU

Chapter 14.2, Problem 31AYU

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Chapter 14 Solutions

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lim x → − 1 x 2 + x x 2 − 1

Solution Summary: The author explains the formula used for lim x c, where the value is 1 / 0 which is undefined, so we have to simplify it.

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To find: lim x → −1 x 2 + x x 2 − 1

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Chapter 14 Solutions

To find: $lim_{x \to - 1} \frac{x^{2} + x}{x^{2} - 1}$