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Calculus I Quiz 1 - Limits at Millersville University, Quizzes of Calculus

Millersville University of Pennsylvania (MU)Calculus

A calculus quiz from millersville university's mathematics department for the course math 161. The quiz focuses on estimating limits using numerical evidence and graphical analysis. Students are required to show their work and write out their answers neatly.

Typology: Quizzes

Pre 2010

Uploaded on 08/16/2009

koofers-user-jz3
koofers-user-jz3 🇺🇸

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Millersville University Name Answer Key
Department of Mathematics
MATH 161 Calculus I , Quiz 1
September 3, 2004
Please answer the following questions. Your answers will be evaluated on their correctness,
completeness, and use of mathematical concepts we have covered. Please show all work and
write out your work neatly. Answers without supporting work will receive no credit.
1. Use numerical evidence to estimate as closely as you can the value of the following
limit. If the limit does not exist, please explain why.
lim
x→−2
x2
−x−6
x2
−4
x f(x)
−2.1 1.24390
−2.01 1.24938
−2.001 1.24994
−1.9 1.25641
−1.99 1.25063
−1.999 1.25006
pf2

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Millersville University Name Answer Key Department of Mathematics MATH 161 Calculus I , Quiz 1 September 3, 2004

Please answer the following questions. Your answers will be evaluated on their correctness, completeness, and use of mathematical concepts we have covered. Please show all work and write out your work neatly. Answers without supporting work will receive no credit.

  1. Use numerical evidence to estimate as closely as you can the value of the following limit. If the limit does not exist, please explain why.

lim x→− 2

x^2 − x − 6 x^2 − 4

x f (x) − 2. 1 1. 24390 − 2. 01 1. 24938 − 2. 001 1. 24994 − 1. 9 1. 25641 − 1. 99 1. 25063 − 1. 999 1. 25006

  1. Using the graph of f (x) shown below, estimate as closely as possible the following limits. If a limit does not exist, please explain why.

(a) lim x→ 1 −^ f (x) =

(b) lim x→ 1 +^

f (x) = 1

(c) lim x→ 1 f (x) does not exist since the limits from the left and the right are different.

x

y