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Quiz

# MAT137Y5 Study Guide - Quiz Guide: Qr CodeExam

Department
Mathematics
Course Code
MAT137Y5
Professor
Jaimal Thind
Study Guide
Quiz

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University of Toronto
MAT137Y1 – Calculus!
Test 1 – 19 October 2018
Time: 110 minutes
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Email .................................................................@MAIL.UTORONTO.CA
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UTOR ID .......................................................................................
This exam booklet contains 10 pages including this one. It consists of 8 questions. The
maximum score is 41 points.
Unless otherwise noted, SHOW YOUR WORK FOR EVERY QUESTION. We may disallow
answers that have no supporting work.
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1

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1. [6 points total; 2 points per part]
(a) Give an example of a set Athat satisﬁes AZ=
(b) Give an example of a function fwith domain Rthat is continuous everywhere.
(c) Give an example of a function gthat is not continuous at 0
2

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2. [6 points total; 2 points per part]
Calculate the following limits (or explain that they do not exist):
(a) lim
x3
sin(3x)
(b) lim
x→−∞
x2+ 2
(c) lim
x0
sin2(3x3)