Explanation It is given, lim h → 0 ( 1 + 2 h ) 1 h . Obtain the value of ( 1 + 2 h ) 1 h when h = 10 − 1 as follows. ( 1 + 2 ( 10 − 1 ) ) 1 10 − 1 = ( 1 + 0.2 ) 10 ≈ 6.19174 Obtain the value of ( 1 + 2 h ) 1 h when h = 10 − 2 as follows. ( 1 + 2 ( 10 − 2 ) ) 1 10 − 2 = ( 1 + 0.02 ) 100 ≈ 7.24465 Obtain the value of ( 1 + 2 h ) 1 h when h = 10 − 3 as follows. ( 1 + 2 ( 10 − 3 ) ) 1 10 − 3 = ( 1 + 0.002 ) 1000 ≈ 7.37431 Obtain the value of ( 1 + 2 h ) 1 h when h = 10 − 4 as follows. ( 1 + 2 ( 10 − 4 ) ) 1 10 − 4 = ( 1 + 0.0002 ) 10 , 000 ≈ 7.38758 Obtain the value of ( 1 + 2 h ) 1 h when h = − 10 − 1 as follows. ( 1 + 2 ( − 10 − 1 ) ) − 1 10 − 1 = ( 1 − 0.2 ) − 10 ≈ 9.31323 Obtain the value of ( 1 + 2 h ) 1 h when h = − 10 − 2 as follows. ( 1 − 2 ( 10 − 2 ) ) 1 − 10 − 2 = ( 1 − 0.02 ) − 100 ≈ 7.54037 Obtain the value of ( 1 + 2 h ) 1 h when h = − 10 − 3 as follows. ( 1 + 2 ( − 10 − 3 ) ) 1 − 10 − 3 = ( 1 − 0

Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)

3rd Edition

ISBN: 9780134996103

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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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 7.1, Problem 63E

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To evaluate: The approximated limit with the help of a table similar to Table 7.1 and confirm your answer with the L’Hôpital’s Rule.

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Chapter 7.1, Problem 62E

Chapter 7.1, Problem 64E

Chapter 7 Solutions

Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)

Ch. 7.1 - What is the domain of ln |x|?Ch. 7.1 - Quick Check 2 Simplify e ln 2x, ln (e2x), e2 ln x,...Ch. 7.1 - Prob. 3QC Ch. 7.1 - Prob. 4QC Ch. 7.1 - Prob. 1E Ch. 7.1 - Prob. 2E Ch. 7.1 - Evaluate 4xdx.Ch. 7.1 - Prob. 4E Ch. 7.1 - Express 3x, x, and xsin x using the base e.Ch. 7.1 - Prob. 6E

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The approximated limit with the help of a table similar to Table 7.1 and confirm your answer with the L’Hôpital’s Rule.

Solution Summary: The author evaluates the approximated limit with a table similar to Table 7.1 and confirms their answer with the L’Hôpital’s Rule.

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To evaluate: The approximated limit with the help of a table similar to Table 7.1 and confirm your answer with the L’Hôpital’s Rule.

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Chapter 7 Solutions