Explanation Given: Thelimit lim t → − 1 ( t 2 + 1 ) 3 ( t + 3 ) 5 Concept Used: For the limits lim x → a f ( x ) and lim x → a g ( x ) , constant a and the positive integer n lim x → a [ f ( x ) ⋅ g ( x ) ] = lim x → a f ( x ) ⋅ lim x → a f ( x ) and lim x → a [ f ( x ) ] n = [ lim x → a f ( x ) ] n Calculation: For the givenlimit lim t → − 1 ( t 2 + 1 ) 3 ( t + 3 ) 5 lim t → − 1 ( t 2 + 1 ) 3 ( t + 3 ) 5 = lim t → − 1 ( t 2 + 1 ) 3 lim t → − 1 ( t + 3 ) 5 Using lim x → a [ f

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 4E

To determine

ToEvaluate The limit limt→−1(t2+1)3(t+3)5 justifying each step by appropriate Limit Law(s).

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Chapter 2.4, Problem 3E

Chapter 2.4, Problem 5E

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Evaluate the limit.

Evaluate the limit. lim x+0 V1 + 3x - 1 Answer:

3c.

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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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ToEvaluate The limit lim t → − 1 ( t 2 + 1 ) 3 ( t + 3 ) 5 justifying each step by appropriate Limit Law(s).

Solution Summary: The author evaluates the limit undersettto -1mathrmlimleft, based on the constant a and the positive integer n.

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ToEvaluate The limit limt→−1(t2+1)3(t+3)5 justifying each step by appropriate Limit Law(s).

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Chapter 2 Solutions