Problem1. | Evaluate the following limits. Identify if there is any for the function (if so, find them). No need to show work. 1. lim x--3- 2. lim x-1 3. lim x-1 1 (x+3) 4 43 x-1 43 x+5 vertical asymptote

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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Problem1.
|
Evaluate the following limits. Identify if there is any vertical asymptote
for the function (if so, find them).
No need to show work.
1. lim
x→-3-
2. lim
x → 1
3. lim
x →1
4. lim
1
(x+3)+
43
x-1
f(x) =
43
x+5
x-1
2
x-1
x →1
Problem2..
Find the value of the constant (a, b, or c) that makes the function
continuous.
[x² - c
for x < 5
4x + 2c for x ≥ 5
Transcribed Image Text:Problem1. | Evaluate the following limits. Identify if there is any vertical asymptote for the function (if so, find them). No need to show work. 1. lim x→-3- 2. lim x → 1 3. lim x →1 4. lim 1 (x+3)+ 43 x-1 f(x) = 43 x+5 x-1 2 x-1 x →1 Problem2.. Find the value of the constant (a, b, or c) that makes the function continuous. [x² - c for x < 5 4x + 2c for x ≥ 5
Problem3.
Determine the points of discontinuity. State the type of discontinuity (removable, jump, infinite, or
none of these). You may use a graphing utility such as Desmos.
1. f(x):
2.
g(t)
3. f(x)
=
=
=
|x+21
x+2
t²-9
t-3
1
X
e -e
-X
Transcribed Image Text:Problem3. Determine the points of discontinuity. State the type of discontinuity (removable, jump, infinite, or none of these). You may use a graphing utility such as Desmos. 1. f(x): 2. g(t) 3. f(x) = = = |x+21 x+2 t²-9 t-3 1 X e -e -X
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