1. Evaluate the following limits. - 2 lim a.+2 -4 V2 +1-2 lim b. i+2 t-2 | sin 7r lim c.0 sin 3r

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Calculus I
Sample Problems for Exam 1
1. Evaluate the following limits.
lim
a. z+2 x2-4
lim
b. i+2
V2 +t- 2
t-2
sin 7a
lim
c. +0 sin 3.r
8
lim
d. 16
Vir-4
I- 16
lim
e. -oo
9a2 +4
2r +1
f(r) ={
if x = -1
2
2. Įscontinuous at x = -1? (Show your work using limits.)
if x 6= -1
3. Let f(x) = x2 - x - 2. Using the Intermediate Value Theorem, explain why this function has (at
least) two x-intercepts in the interval (-2,3).
Transcribed Image Text:Calculus I Sample Problems for Exam 1 1. Evaluate the following limits. lim a. z+2 x2-4 lim b. i+2 V2 +t- 2 t-2 sin 7a lim c. +0 sin 3.r 8 lim d. 16 Vir-4 I- 16 lim e. -oo 9a2 +4 2r +1 f(r) ={ if x = -1 2 2. Įscontinuous at x = -1? (Show your work using limits.) if x 6= -1 3. Let f(x) = x2 - x - 2. Using the Intermediate Value Theorem, explain why this function has (at least) two x-intercepts in the interval (-2,3).
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