Explanation Theorem used: “Assume f is defined for all x near a except possibly at a . Then lim x → a f ( x ) = L if and only if lim x → a + f ( x ) = L and lim x → a − f ( x ) = L ”. The graph of the function f ( x ) = 18 ( x 3 − 1 ) x 3 − 1 is as shown below in Figure 1. From Figure 1, it is observed that the value of f ( x ) at x = 1 is undefined. The function f ( x ) approaches to 2 as x approaches 1 from the left and f ( x ) approaches to 2 as x approaches 1 from the right

Single Variable Calculus Format: Unbound (saleable)

3rd Edition

ISBN: 9780134765761

Author: Briggs, William L.^cochran, Lyle^gillett, Bernard^

Publisher: Prentice Hall

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Chapter 2.2, Problem 38E

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To estimate: The value of limx→118(x3−1)x3−1 by using graphs or tables.

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Chapter 2.2, Problem 37E

Chapter 2.2, Problem 39E

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Single Variable Calculus Format: Unbound (saleable)

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To estimate: The value of lim x → 1 18 ( x 3 − 1 ) x 3 − 1 by using graphs or tables.

Solution Summary: The author explains how to estimate the value of undersetxto 1mathrmlim18(sqrt[3]).

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To estimate: The value of limx→118(x3−1)x3−1 by using graphs or tables.

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Chapter 2 Solutions