Concept explainers
Explain what each of the following means and illustrate with sketch.
(a)
(b)
(c)
(d)
(e)
(a)
To explain: The meaning of
Explanation of Solution
Result used:
Definition of limit:
Let
Graph:
Calculation:
The limit of the function
In the limit definition
There are three cases for define
Case (1):
The limit of the function
Graph:
Case (2):
The limit of the function
Case (3):
The limit of the function
Graph:
(b)
To explain: The meaning of
Explanation of Solution
Result used:
Definition of limit:
Let
Calculation:
Graph:
(c)
To explain: The meaning of
Explanation of Solution
Result used:
Definition of limit:
Let
Calculation:
The limit of the function
Graph:
(d)
To explain: The meaning of
Explanation of Solution
Result used:
Definition of limit:
Let
Calculation:
The limit of the function
Graph:
(e)
To explain: The meaning of
Explanation of Solution
Result used:
Definition of limit:
Let
Calculation:
The limit of the function
Graph:
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Chapter 2 Solutions
CCP MATH 171WITH CODE >CI<
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- The average monthly sales volume (in thousands of dollars) for a firm depends on the number of hours x of training of its sales staff, according to the following. (Give exact answers. Do not round.) S(x) = 2 x + 20 + x 2 , 2 ≤ x ≤ 100 (a) Find lim x→2+ S(x). thousand dollars(b) Find lim x→100− S(x). thousand dollarsarrow_forwardExamine the limits below and justify why they exist or not: lim f(x) = 4 and lim f(x) = −4 x→3− x→3+ lim f(x) = -5 and lim f(x) = -5 x→2− x→2+arrow_forward6. Given f(x)= { 3, if x < -2 x, if -2 ≤ x<8 x+3, if x≥8 estimate lim f(x) x→−2 a.-2 b. 1 c. does not exist d. 3 7. Using a table of values, estimate lim 1/ x-3 x→3 a. 1 b. -1 c. - ∞ d. ∞ 8. Using table of values, estimate lim x+4/ (x-5)2 x→5 a. 10 b. 8 c. - ∞ d. ∞arrow_forward
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