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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=
Textbook: Saxon Math, Course 1
Author: Stephan Hake
The full step-by-step solution to problem: 25 from chapter: 12 was answered by , our top Math solution expert on 03/16/18, 04:35PM. Since the solution to 25 from 12 chapter was answered, more than 231 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Saxon Math, Course 1, edition: 1. The answer to “25m 625” is broken down into a number of easy to follow steps, and 2 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 120 chapters, and 3595 solutions. Saxon Math, Course 1 was written by and is associated to the ISBN: 9781591417835.