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17 Solved Questions on Horizontal and vertical Asymptote | MATH 221, Exams of Calculus

University of Illinois - Urbana-ChampaignCalculus
Prof. Randy Mccarthy

Material Type: Exam; Professor: McCarthy; Class: Calculus I; Subject: Mathematics; University: University of Illinois - Urbana-Champaign; Term: Fall 2011;

Typology: Exams

2013/2014

Uploaded on 09/21/2014

jonckr
jonckr 🇺🇸

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Download 17 Solved Questions on Horizontal and vertical Asymptote | MATH 221 and more Exams Calculus in PDF only on Docsity!

1. (5 points) Answer the following question at the indicated points on the graph: ) At which points is f continuous? (b) At which points is f differentiable? ) What is the value of lim,.¢- f(2) ? (d) What is the value of lim,—¢i f(x)? (c) What is the value of lim,» f(x)? 2. (7 points) Find the horizontal and vertical asymptotes of the curve. 3. (8 points) Use the definition of the derivative to show if f(w@)=1-2a—42? then f’(x) = -2- 82 4. (20 points) Compute the following derivatives using any methods we have cov- ered in class. (a) TInt + ye ) °) ) ) ys (g) V1 + seca