9th Edition

ISBN: 9780357531273

Author: Stewart

Publisher: CENGAGE L

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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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Textbook Question

Chapter 2, Problem 30E

Let

g ( x ) = { 2 x − x 2 if 0 ≤ x ≤ 2 2 − x if 2 < x ≤ 3 x − 4 if 3 < x < 4 π if x ≥ 4

a) For each of the numbers 2, 3, and 4, discover whether g is continuous from the left, continuous from the right, or continuous at the number.

(b) Sketch the graph of g.

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Chapter 2, Problem 29E

Chapter 2, Problem 31E

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Chapter 2 Solutions

CALCULUS: EARLY TANSCENDENTALS

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Let g ( x ) = { 2 x − x 2 if 0 ≤ x ≤ 2 2 − x if 2 < x ≤ 3 x − 4 if 3 < x < 4 π if x ≥ 4 a) For each of the numbers 2, 3, and 4, discover whether g is continuous from the left, continuous from the right, or continuous at the number. (b) Sketch the graph of g .

Solution Summary: The author explains that the function g is continuous at the numbers 2 and 3 and continuous from the right.

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Chapter 2 Solutions

Let g ( x ) = { 2 x − x 2 if 0 ≤ x ≤ 2 2 − x if 2 &lt; x ≤ 3 x − 4 if 3 &lt; x &lt; 4 π if x ≥ 4 a) For each of the numbers 2, 3, and 4, discover whether g is continuous from the left, continuous from the right, or continuous at the number. (b) Sketch the graph of g .

Solution Summary: The author explains that the function g is continuous at the numbers 2 and 3 and continuous from the right.

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Chapter 2 Solutions

Let g ( x ) = { 2 x − x 2 if 0 ≤ x ≤ 2 2 − x if 2 < x ≤ 3 x − 4 if 3 < x < 4 π if x ≥ 4 a) For each of the numbers 2, 3, and 4, discover whether g is continuous from the left, continuous from the right, or continuous at the number. (b) Sketch the graph of g .