Assignment2(1804)(v1-9-2-11)

# Assignment2(1804)(v1-9-2-11) - A2/MATH1804/2010-11/2nd THE...

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A2/MATH1804/2010-11/2nd THE UNIVERSITY OF HONG KONG DEPARTMENT OF MATHEMATICS MATH1804 University Mathematics A Assignment 2 Due date : Feb 17, 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. Compute the following limits: (a) lim x →- 3 - x + 3 x 2 - 6 - 3 (b) lim x 1 + ± 1 x - 1 + 1 | x - 1 | ² (c) lim x 1 - ± 1 x - 1 + 1 | x - 1 | ² 2. Use the Sandwich Theorem to compute the following limits: (a) lim x 0 x 4 cos(4 πx ) (b) lim x →∞ sin( x 2 ) x 2 3. For each of the following functions, ﬁnd all the points where it is discontinuous: (a) f ( x ) = x x 3 - 10 x 2 + 24 x (b) f ( x ) = arctan( x ) (c) f ( x ) = x

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## This note was uploaded on 04/19/2011 for the course MATH 1804 taught by Professor Ng during the Spring '11 term at HKU.

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Assignment2(1804)(v1-9-2-11) - A2/MATH1804/2010-11/2nd THE...

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