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Math 113 Quiz 10: Limits and L'Hopital's Rule, Quizzes of Analytical Geometry and Calculus

George Mason University (GMU)Analytical Geometry and Calculus

Math 113 quiz 10, focusing on limits and l'hopital's rule. Students are required to use l'hopital's rule to calculate the limits of functions in parts (a), (b), and (c). In part (d), they must find the general antiderivative of a given expression.

Typology: Quizzes

Pre 2010

Uploaded on 12/09/2008

koofers-user-uw1-1 🇺🇸

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Download Math 113 Quiz 10: Limits and L'Hopital's Rule and more Quizzes Analytical Geometry and Calculus in PDF only on Docsity! November 17, 2008 Math 113 - Quiz 10 This is a quiz for sections 4.6 and 4.8 Answer the following problems below the horizontal line. 1. Make use of l’Hôpital’s rule to calculate each of the following limits (even if you see another way to do it). Indicate at each step what is the indeterminate form you must deal with. (a) lim x→∞ ln (5x2 + 1) ln (x) (b) lim x→0 e3x − 3x− 1 x2 . (c) lim x→0 (1 + 5x)1/ sin x 2. Find the indicated general antiderivative. Be sure to simplify each term in your final answer as much as possible. ∫ ( 6x + 6 √ x + 7√ x − 3 x + sec2 2x + 1 1 + x2 ) dx.

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Math 113 Quiz 10: Limits and L'Hopital's Rule, Quizzes of Analytical Geometry and Calculus

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