A. Construct a table of values to investigate the following limits: 10 1. lim 3 x – 2 1 2. lim r+3 if r <1 3. lim f(x) if f(x) = { 2r if r = 1 5x – I if æ >1 B. Consider the function f(x) whose graph is shown below. Determine the following: a. lim f(x) 2-3 b. lim f(z) 2-1 c. lim f(x) d. lim f(x) e. lim f(x)
A. Construct a table of values to investigate the following limits: 10 1. lim 3 x – 2 1 2. lim r+3 if r <1 3. lim f(x) if f(x) = { 2r if r = 1 5x – I if æ >1 B. Consider the function f(x) whose graph is shown below. Determine the following: a. lim f(x) 2-3 b. lim f(z) 2-1 c. lim f(x) d. lim f(x) e. lim f(x)
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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Make a table of values just like in the example 1 foe 1-3. And answer B. a-e with solutions
Transcribed Image Text:A. Construct a table of values to investigate the following limits:
10
1. lim
T+3 x – 2
1
2. lim
T+1 r+1
x+3
if r <1
3. lim f(x) if f(x) = { 2xr
if æ = 1
V5x – 1
if x >1
B. Consider the function f(x) whose graph is shown below.
Determine the following:
a. lim f(x)
1-3
b. lim f(r)
-1
c. lim f(x)
d. lim f(x)
e. lim f(r)
Transcribed Image Text:12 - 5x +4
lim
Example 1. By constructing table of values, investigate
Here, c = 1 and f(x) = S+4 Take note that 1 is not in the domain of f, but
this is not a problem. In evaluating a limit, remember that we only need to
go very close to 1; we will not go to 1 itself. We now approach 1 from the left
and from the right
x-1
f(x)
f(x)
1.5
-2.5
0.5
-3.5
1.17
-2.83
0.88
-3.12
1.003
-2.997
0.996
-3.004
1.0001 -2.9999
0.9999 -3.0001
The tables show that as z approaches 1, f(1) approaches –3. In symbols,
r2 – 5x + 4
-3.
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