Answered: 6. Evaluate the following limits a.…

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6. Evaluate the following limits a. limx→9 3−√9 / 9−x b. lim x→0 √1+x−√1−x / x c. lim x→−2 x+2 / x2+z−2

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.6: Rational Functions

Problem 1E: If the rational function y=r(x) has the vertical asymptote x=2, then as x2+ , either y ______or y...

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Concept explainers

Limits

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 topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

6. Evaluate the following limits
a. lim_x→9 3−√9 / 9−x

b. lim _x→0√1+x−√1−x / x

c. lim _x→−2x+2 / x²+z−2

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