MA112 assignment 1 2018 f2f Solution.pdf - The University...

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The University of the South Pacific Serving the Cook Islands, Fiji, Kiribati, Marshall Islands, Nauru, Niue, Samoa, Solomons Islands, Tokelau, Tonga, and Vanuatu FacultyofScience,Technology&Environment SchoolofComputing,InformationandMathematicalSciences MA112: CalculusII ASSIGNMENT1Solution-SEMESTER2,2018 DUE DATE: 16/08/2018 (Week 6 Thursday) at 5:00pm INSTRUCTIONS : 1. All questions are compulsory. Show all relevant working. 2. This assignment should be done in groups of no more than three members. You can form your own group and assign a group leader. Your assignment will not be marked if your group has more than three members. 3. You can type your answers on MS word or hand-written answers. The name and ID number of all group members must be written on the cover sheet. The group leader should hand in the assignment solution before the due date and time. 4. I strongly advise you to read through the part of the Course Outline which clearly states the University policy on plagiarism and copying. There will be tough penalties if found to have a great deal of copied and plagiarized mate- rials. Any case of plagiarism will be dealt with severely. You are allowed to discuss the questions with your fellow students but what the group leader submits must be your own group works.
MA112 Assignment 1 Solution Semester 2, 2018 5. The lecturer reserves the right to question any member of a group submit- ting a solution about any portion of the solution. Inability to respond ade- quately will automatically result in loss of points Question1( ( 2 + 2 )+( 3 + 3 )+( 2 + 3 )+ 3 +( 2 + 3 )= 25 marks) (a) Use the rigorous definition of limits to prove the following: (i) lim x 3 2 4 x 2 9 2 x 3 = 6. (ii) lim = .
x 1 ( x 1 ) 2
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