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3 Question on Calculus - Quiz 3 | MATH 220, Quizzes of Calculus

University of Illinois - Urbana-ChampaignCalculus
Prof. Robert F. Murphy

Material Type: Quiz; Professor: Murphy; Class: Calculus; Subject: Mathematics; University: University of Illinois - Urbana-Champaign; Term: Fall 2010;

Typology: Quizzes

2010/2011

Uploaded on 06/22/2011

koofers-user-atw
koofers-user-atw 🇺🇸

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Math 220 (section ???) Quiz 3 Fall 2010
Name
•No calculators allowed.
•Show sufficient work to justify each answer.
•You have 20 minutes for this quiz.
1. (2 points) Determine the values of cand dso that f(x) is continuous throughout its domain.
f(x) =
3x−5 for x < −2
cx +dfor −2≤x≤3
5−2xfor x > 3
pf3

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Math 220 (section ???) Quiz 3 Fall 2010

Name

  • No calculators allowed.
  • Show sufficient work to justify each answer.
  • You have 20 minutes for this quiz.
  1. (2 points) Determine the values of c and d so that f (x) is continuous throughout its domain.

f (x) =

  

3 x − 5 for x < − 2 cx + d for − 2 ≤ x ≤ 3 5 − 2 x for x > 3

  1. (2 points each) Evaluate the following limits.

(a) lim x→ 0 +

5 − x^2 1 − ex

(b) lim x→ 5

x^2 − 25 x^2 − 3 x − 10

(c) (^) xlim→∞

6 x^2 + 5 1 + 3x^2