Explanation Given information: The limit lim x → 3 ( 2 x + | x − 3 | ) Concept used: The limit lim x → a ( f ( x ) ) exists if lim x → a − ( f ( x ) ) = lim x → a + ( f ( x ) ) Calculation: Consider the limit lim x → 3 − ( 2 x + | x − 3 | ) lim x → 3 − ( 2 x + | x − 3 | ) = 2 ( 3 ) + | 3 − 3 | lim x → 3 − ( 2 x + | x − 3 | ) = 6 + | 0 | lim x → 3 − ( 2 x + | x

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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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…

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Chapter 2.4, Problem 33E

To determine

The limit if exists

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Chapter 2.4, Problem 32E

Chapter 2.4, Problem 34E

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Find the limit

Evaluate the limit if it exists

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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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The limit if exists

Solution Summary: The author explains that the limit exists if undersetxto 3mathrmlim(2x+|x-3|)=6.

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Chapter 2 Solutions