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In 15-28, find the distance d(P] , P2) between the | Ch 2 - 2.1.21

Algebra and Trigonometry | 8th Edition | ISBN: 9780132329033 | Authors: Michael Sullivan ISBN: 9780132329033 217

Solution for problem 2.1.21 Chapter 2

Algebra and Trigonometry | 8th Edition

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Algebra and Trigonometry | 8th Edition | ISBN: 9780132329033 | Authors: Michael Sullivan

Algebra and Trigonometry | 8th Edition

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Problem 2.1.21

In 15-28, find the distance d(P] , P2) between the points PI and P2. PI = (-3, 2); P2 = (6, 0)

Step-by-Step Solution:
Step 1 of 3

L'Hospital's Rule Find lim(​ln(x) x−1 x→0 As x→1, ln(x)→0 and (x-1) → 0 This is called an indeterminate form of type 0/0 Now consider lim (ln(x)) x−1 x→ ∞ As x→ ∞ ​ln(x)→ ∞ ​ nd (x-1) →∞ ​ndeterminate form of type∞ / ∞ L'Hospital's rule If f(x) and g(x) are both differentiable and / 0a) = suppose that lim(f(x)) = 0 and lim(g(x)) = 0 x→a x→a Or that lim(f(x))∞= ​ nd lim(g(x)) ∞ x→a x→a f(x) f′(x) Then lim (g(x) ) ​ lim(g′x)) x→a x→a Note: This is not the quotient rule take f’(x) and g’(x) separately Ex. Find lim(ln(x)/(x-1)) = lim((1/x)/1) = lim(x/1) = 1/1 = 1 x→1 x→1 x→1 Ex. Find lim(ln(x)/(x-1)) = lim(1/x) = 0 x→

Step 2 of 3

Chapter 2, Problem 2.1.21 is Solved
Step 3 of 3

Textbook: Algebra and Trigonometry
Edition: 8
Author: Michael Sullivan
ISBN: 9780132329033

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In 15-28, find the distance d(P] , P2) between the | Ch 2 - 2.1.21