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Consider the following limit: lim x→0 tan(x) X x3 A. What type of indeterminate form does the above limit have? B. Using only L'Hospital's Rule, calculate the limit. C. Represent tan(x)-x x3 as a power series. D. Using the above power series that you found, take the limit. E. Which method do you prefer and why?

Consider the following limit: lim x→0 tan(x) X x3 A. What type of indeterminate form does the above limit have? B. Using only L'Hospital's Rule, calculate the limit. C. Represent tan(x)-x x3 as a power series. D. Using the above power series that you found, take the limit. E. Which method do you prefer and why?

College Algebra
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 2E
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Consider the following limit: lim x→0 tan(x) X x3 A. What type of indeterminate form does the above limit have? B. Using only L'Hospital's Rule, calculate the limit. C. Represent tan(x)-x x3 as a power series. D. Using the above power series that you found, take the limit. E. Which method do you prefer and why?
Transcribed Image Text:Consider the following limit: lim x→0 tan(x) X x3 A. What type of indeterminate form does the above limit have? B. Using only L'Hospital's Rule, calculate the limit. C. Represent tan(x)-x x3 as a power series. D. Using the above power series that you found, take the limit. E. Which method do you prefer and why?
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