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Solution: Exer. 3546: Sketch the graph of f

Algebra and Trigonometry with Analytic Geometry | 12th Edition | ISBN: 9780495559719 | Authors: Earl Swokowski, Jeffery A. Cole ISBN: 9780495559719 225

Solution for problem 36 Chapter 5.5

Algebra and Trigonometry with Analytic Geometry | 12th Edition

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Algebra and Trigonometry with Analytic Geometry | 12th Edition | ISBN: 9780495559719 | Authors: Earl Swokowski, Jeffery A. Cole

Algebra and Trigonometry with Analytic Geometry | 12th Edition

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Problem 36

Exer. 3546: Sketch the graph of f

Step-by-Step Solution:
Step 1 of 3

Evaluating Limits Algebraically EXAMPLE 1 multiplying by the conjugate lim( 1 − 22 ) x→1 x−1 x −1 Multiply by the conjugate: 1(x+1) 2 lim (x−1)(x+1) x −1 x→1 lim x21−2 x→1 x −1 x−1 lim x −1 x→1 lim 1 = 1 x→1 x+1 2 EXAMPLE 2 1 1 x→0( x ) =x0 Another ex 1 2 x→c( x ) x± ∞ limf(x) = f(c) if f is continuous x→c Assume f is continuous on h(c) and h is continuous at c If f(h(x)) is continuous at c 1 remember sin =/ arch sin x x2 3 EX: 2x−3 continuous except at 2 Rules: p(x) q(x) q = 0 Ex 2 arch sin + f(g(h(x)) x f = e g = x h = arch sin x Equations to remember lim 1−cosx= 0 x→0 x sinh lim h − 1 h→0 lim e −1=

Step 2 of 3

Chapter 5.5, Problem 36 is Solved
Step 3 of 3

Textbook: Algebra and Trigonometry with Analytic Geometry
Edition: 12
Author: Earl Swokowski, Jeffery A. Cole
ISBN: 9780495559719

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Solution: Exer. 3546: Sketch the graph of f