22. The Radical/Root Theorem of the limit states that a. If n is a negative integer, the limit of the nth root of a function is just the nth root of the limit of the function, provided the nth root of the limit is a real number. Thus, if n is even, the limit of the function must be positive. b. If n is a positive integer, the limit of the nth root of a function is just the limit of the function, provided the nth roof of the limit is a negative number. C. If n is a even integer, the limit of the nth root of a function is just the nth root of the limit of the function, provided the nth root of the limit is a real number. ThUs, if n is odd, the limit of the function must be negative. d. If n is a positive integer, the limit of the nth root of a function is just the nth root of the limit of the function, provided the nth root of the limit is a real number. Thus, if n is even, the limit of the function must be positive. 23. Given the table of values below. Which among the statements does NOT correctly describe the values in the table? f(x). -3.5 f(x) -2.5 -2.83 0.5 1.5 0.88 -3.12 1.17 <-3.004 1.003 -2.997 0.996 0.9999 -3.0001 1.0001 -2.9999 a. The table shows that as the value of x increases the value of f(x) also increases. b. The fable shows that as the value of x decreases the value of f(x) also decreases. c. The table shows that as x approaches 1 from left or right, f(x) approaches -3. d. The table shows that as the value of x decreases the value of f(x) increases. 24. Which of the following is not a symbol of the derivative of a function y = f(x)? dy C. dr a. y b. f (x) d. dydx
22. The Radical/Root Theorem of the limit states that a. If n is a negative integer, the limit of the nth root of a function is just the nth root of the limit of the function, provided the nth root of the limit is a real number. Thus, if n is even, the limit of the function must be positive. b. If n is a positive integer, the limit of the nth root of a function is just the limit of the function, provided the nth roof of the limit is a negative number. C. If n is a even integer, the limit of the nth root of a function is just the nth root of the limit of the function, provided the nth root of the limit is a real number. ThUs, if n is odd, the limit of the function must be negative. d. If n is a positive integer, the limit of the nth root of a function is just the nth root of the limit of the function, provided the nth root of the limit is a real number. Thus, if n is even, the limit of the function must be positive. 23. Given the table of values below. Which among the statements does NOT correctly describe the values in the table? f(x). -3.5 f(x) -2.5 -2.83 0.5 1.5 0.88 -3.12 1.17 <-3.004 1.003 -2.997 0.996 0.9999 -3.0001 1.0001 -2.9999 a. The table shows that as the value of x increases the value of f(x) also increases. b. The fable shows that as the value of x decreases the value of f(x) also decreases. c. The table shows that as x approaches 1 from left or right, f(x) approaches -3. d. The table shows that as the value of x decreases the value of f(x) increases. 24. Which of the following is not a symbol of the derivative of a function y = f(x)? dy C. dr a. y b. f (x) d. dydx
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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
Transcribed Image Text:22. The Radical/Root Theorem of the limit states that
a. If n is a negative integer., the limit of the nth root of a function is just the nth root
of the limit of the function, provided the nth root of the limit is a real number.
Thus, if n is even, the limit of the function must be positive.
b. If n is a positive integer, the limit of the nth root of a function is just the limit of the
function, provided the nth root of the limit is a negative number.
C. If n is a even integer, the limit of the nth root of a function is just the nth root of
the limit of the function, provided the nth root of the limit is a real number. Thus, if
n is odd, the limit of the function must be negative.
d. If n is a positive integer, the limit of the nth root of a function is just the nth root of
the limit of the function, provided the nth root of the limit is a real number. Thus, if
n is even, the limit of the function must be positive.
23. Given the table of values below. Which among the statements does NOT
correctly describe the values in the table?
f(x).
-3.5
f(x)
-2.5
0.5
0.88
1.5
-3.12
1.17
-2.83
-3.004
1.003
-2.997
0.996
0.9999
-3.0001
1.0001 -2.9999
a. The table shows that as the value of x increases the value of f(x) also increases.
b. The fable shows that as the value of x decreases the value of f(x) also
decreases.
c. The table shows that as x approaches 1 from left or right, f(x) approaches -3.
d. The table shows that as the value of x decreases the value of f(x) increases.
24. Which of the following is not a symbol of the derivative of a function y = f(x)?
dy
C.
dr
a. y
b. f (x)
d. dydx

Transcribed Image Text:19. The Division Theorem. This says that the limit of a quotient of function is equal to
the quotient of the limits of the individual functions, provided the denominator limit is not
equal to 0.
lim /(x)
f(x)
a. lim
c g(x)
provided M = 0.
lim g(x)
lim f(x)
mikentto lov o
b. lim-
provided M > 0.
(x)6
lim g(c)
lim f(x)
M
f(x)
C. lim
Xcg(x)
provided M <0.
lim g(x)
lim f(x)
M
d. lim
Xc g(x)
20. The Power Limit states that
a. The limit of an integer power p of a function is just that power of the limit of a
function.
b. The limit of an integer power p of a function is just the limit of the power of a
function.
c. The limit of art integer power p of a function is just that power raised to another
power of the limit of a function.
d. The limit of a function power p of an integer is just that power of the limit of a
funtion.
provided M 0.
%3D
%3D
lim g(x)
M'
9x2-1
21. Evaluate the lim
3x - 1
a. 00
b. -0
C. 2
d. 0
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