3help x²+x-6|x - 21(a) Find the following limits. (If an answer does not exist, enter DNE.)Let g(x) =(1)(ii)lim g(x)X-2+lim g(x)X-2-(b) Does lim g(x) exist?x 2YesNo(c) Sketch the graph of g.-10A-10C105-10105-105510XB10X-10-10Dy105-5-1010-10551010XXe

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Answered: x²+x-6 |x - 21 (a) Find the following…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 3TU

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Let (x) = |x - 2| / x - 2 A) what is the domain of g(x)? B) Use numerical methods to find lim x—> 2- g(x) and lim x—> 2+ g(x). C) based on your answer to (b), what is lim x—> 2 g(x)? D) sketch an accurate graph of g(x) on the interval [-4,4]. Be sure to include any needed open or closed circles.
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x²+x-6 |x - 21 (a) Find the following limits. (If an answer does not exist, enter DNE.) Let g(x) = (i) (ii) lim g(x) X-2+ lim g(x) X-2- (b) Does lim g(x) exist? x 2 Yes No (c) Sketch the graph of g. -10 A 10 5 -10 10 5 5 10 X B -10 y 10 5 -5 -10 10 5 10 X