Explanation Given: The given equation is x 2 + x − 6 x − 2 = x + 3...... ( 1 ) Calculation: Factorization the left hand side of given equation, x 2 + x − 6 x − 2 = ( x + 3 ) ( x − 2< To determine To find: Why the equation lim x → 2 x 2 + x − 6 x − 2 = lim x → 2 ( x + 3 ) is valid.

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

1st Edition

ISBN: 9781305779037

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Question

Chapter 2.4, Problem 8E

To determine

To find: What is wrong with the equation x2+x−6x−2=x+3 .

To determine

To find: Why the equation limx→2x2+x−6x−2=limx→2(x+3) is valid.

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Chapter 2.4, Problem 7E

Chapter 2.4, Problem 9E

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In view of part (a), explain why the equation x² + x – 6 lim x-2 lim (x + 3) x – 2 is correct.

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Chapter 2 Solutions

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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What is wrong with the equation x 2 + x − 6 x − 2 = x + 3 .