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Department
Mathematics
Course
MATA30H3
Professor
Sophie Chrysostomou
Semester
Winter

Description
University of Toronto at Scarborough Department of Computer & Mathematical Sciences MAT A30Y 2013-2014 Assignment #5 You are expected to work on this assignment prior to your tutorial in the week of Monday October 21st. You may ask questions about this assignment in that tutorial. In your tutorial in the week of Monday October 28th you will be asked to write a quiz based on this assignment and/or related material from the lectures and textbook readings. TEXTBOOK: Single Variable Calculus, Early Transcendentals, 7e, J.Stewart READ: Stewart: Sections: 2.2, 2.3, 2.6. 2 Limits and Continuity pages 1-11. PROBLEMS: A. Homework problems from the lectures: 2 1. Investigate the behaviour of f(x) = x near a = 2 by using your calculator to evaluate the function at values near 2. Does lim x exist? If it does what is it? x→2 2. Write any two definitions of the following: (a) lim+ f(x) = ∞ (b) lim+ f(x) = −∞ (c) lim−f(x) = ∞ (d) li− f(x) = −∞ x→a x→a x→a x→a 3. lim (x − 1) sin 1 x→−1 x + 1 4. θ Show lim = 1. . θ→0 si
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