Explanation Given: Given limit is lim s → 1 g ( s ) g ( s ) = { s 2 − s s − 1 if s > 1 1 − s if s ≤ 1 Calculation: Left hand limit: = lim s → 1 − g ( s ) For s ≤ 1 , g ( s ) = 1 − s = lim s → 1 − 1 − s = 1 − 1 = 0 = 0 Right hand limit: = lim s → 1 + g (

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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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 2.2, Problem 41PS

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To compute the one-sided limit of lims→1g(s) , where g(s)={ s 2 −s s−1if s>1 1−sif s≤1

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Chapter 2.2, Problem 40PS

Chapter 2.2, Problem 42PS

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Chapter 2 Solutions

Calculus

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To compute the one-sided limit of lim s → 1 g ( s ) , where g ( s ) = { s 2 − s s − 1 if s > 1 1 − s if s ≤ 1

Solution Summary: The author calculates the one-sided limit of undersetsto 1mathrmlimg(s).

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To compute the one-sided limit of lims→1g(s) , where g(s)={ s 2 −s s−1if s>1 1−sif s≤1

Want to see the full answer?

Chapter 2 Solutions

To compute the one-sided limit of lim s → 1 g ( s ) , where g ( s ) = { s 2 − s s − 1 if s &gt; 1 1 − s if s ≤ 1

Solution Summary: The author calculates the one-sided limit of undersetsto 1mathrmlimg(s).

Concept explainers

Videos

To compute the one-sided limit of lims→1g(s) , where g(s)={ s 2 −s s−1if s>1 1−sif s≤1

Want to see the full answer?

Chapter 2 Solutions

To compute the one-sided limit of lim s → 1 g ( s ) , where g ( s ) = { s 2 − s s − 1 if s > 1 1 − s if s ≤ 1