Math 220 Quiz 3 Fall 2011 - Prof. Robert F. Murphy, Quizzes of Calculus

A math quiz for math 220 section, held in fall 2011. The quiz includes instructions and three math problems. The first problem involves evaluating the inverse tangent of a given expression. The second problem asks to find the limit of an odd function as x approaches a certain value. The third problem consists of evaluating the limits of three expressions as x approaches specific values. No calculators are allowed and sufficient work must be shown for each answer. The quiz lasts for 15 minutes.

Typology: Quizzes

2010/2011

Uploaded on 10/13/2011

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Math 220 (section ???) Quiz 3 Fall 2011
Name
No calculators allowed.
Show sufficient work to justify each answer.
You have 15 minutes for this quiz.
1. (2 points) Evaluate tansec13
2.
2. (2 points) There is an odd function f(x) which is continuous at all real numbers and takes
on the following values.
f(1) = 2, f(2) = 4, f(3) = 5, f(4) = 6, f(5) = 4, f(6) = 2
Evaluate lim
x→−4f(x).
pf2

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Math 220 (section ???) Quiz 3 Fall 2011

Name

  • No calculators allowed.
  • Show sufficient work to justify each answer.
  • You have 15 minutes for this quiz.
  1. (2 points) Evaluate tan

( sec−^1

)) .

  1. (2 points) There is an odd function f (x) which is continuous at all real numbers and takes on the following values.

f (1) = 2, f (2) = −4, f (3) = 5, f (4) = 6, f (5) = 4, f (6) = − 2

Evaluate (^) xlim→− 4 f (x).

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

(a) (^) x→−∞lim

5 + 2x^3 3 x^3 + 4

(b) lim x→ 2. 5 +

ex 5 − 2 x

(c) lim x→ 3

2 x^2 − 18 2 x^2 − 5 x − 3