Assignment3(1804)(v1-24-2-11)

Assignment3(1804)(v1-24-2-11) - A3/MATH1804/2010-11/2nd THE...

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A3/MATH1804/2010-11/2nd THE UNIVERSITY OF HONG KONG DEPARTMENT OF MATHEMATICS MATH1804 University Mathematics A Assignment 3 Due date : Mar 8, 2011 before 17:00. Remember to write down your Name , Uni. number and Tutorial Group number . You are welcome to see the instructor or the demonstrators if you have any difficulties. See “Course information” at http://hkumath.hku.hk/course/MATH1804 for availabilities. Please drop your work in the assignment box marked MATH1804 on the 4th floor of Run Run Shaw Building. No late work will be accepted. 1. Use l’Hˆ opital’s rule to find the following limits: (a) lim x →∞ x 2 + 3 x 2 x 3 - x + 1 (b) lim x 1 (3 x + 1) x - 4 x 2 3 - 1 (c) lim x 0 sin x cos x p ( x ) , where p ( x ) is a continuously differentiable (which means p is dif- ferentiable and furthermore p 0 ( x ) is also continuous) function with p (0) = 0 and p 0 (0) = 2 . (d) lim x π/ 2 (sec x - tan x ) 2. Find all (horizontal, vertical, oblique) asymptotes for each of the following function:
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Assignment3(1804)(v1-24-2-11) - A3/MATH1804/2010-11/2nd THE...

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