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...
Related questions
Question
115 117
![113.
114.
a.
115. f(x) = {
b.
[T] In the following exercises, use a calculator to draw
the graph of each piecewise-defined function and study the
graph to evaluate the given limits.
a.
Q
lim (x+1)-f(x)]
x16
b.
lim (f(x) g(x)-h(x))
x16
a.
116. g(x)=
b.
lim_ f(x)
lim f(x)
x-3*
x+4,
xim-8(x)
lim g(x)
x →0+
120%
[x³-1, x ≤0
(1,
x>0
117. h(x) = (x²-2x+1, x<2
3-x,
x≥2
lim_h(x)
lim h(x)
x−2+
x ≤ 3
x>3
8 0
In the following exercises, use the following graphs and the
limit laws to evaluate each limit.
Σ
185/875
-12-10 -8 -6 -4
YA
10+
8+
6+
4-
2-
TT
0
-2+
-4+
-6+
-8+
-10+
y = f(x)
-16-14-12-10 -8 -6
is
2 4 6 8
2
104
O A NON A 0 0
-4+
-8+
10+
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa87d91c0-40bd-4bd8-803a-c6bae60f36c4%2Fccabcf44-0adf-4c3c-b886-04764e5a8ee2%2F0kq7gzh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:113.
114.
a.
115. f(x) = {
b.
[T] In the following exercises, use a calculator to draw
the graph of each piecewise-defined function and study the
graph to evaluate the given limits.
a.
Q
lim (x+1)-f(x)]
x16
b.
lim (f(x) g(x)-h(x))
x16
a.
116. g(x)=
b.
lim_ f(x)
lim f(x)
x-3*
x+4,
xim-8(x)
lim g(x)
x →0+
120%
[x³-1, x ≤0
(1,
x>0
117. h(x) = (x²-2x+1, x<2
3-x,
x≥2
lim_h(x)
lim h(x)
x−2+
x ≤ 3
x>3
8 0
In the following exercises, use the following graphs and the
limit laws to evaluate each limit.
Σ
185/875
-12-10 -8 -6 -4
YA
10+
8+
6+
4-
2-
TT
0
-2+
-4+
-6+
-8+
-10+
y = f(x)
-16-14-12-10 -8 -6
is
2 4 6 8
2
104
O A NON A 0 0
-4+
-8+
10+
1
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