and radical)What I KnowMultiple Choice.Directions: Encircle the letter of the correct answer.1. Which mathematical expression corresponds to the statement "the limits of thefunction x2 + 2 as x approaches to 3 is equal to 11"?C. lim (x2 + 2) = 11x →3А.lim (x2 + 2) = 11D. lim (x² – 2) = 11x -3X--3В.lim (x2-2) = -11x--32. Which function becomes undefined?f(x) = 0C. f(x) = LD. f(x) = ; b= 0А.В.X = c3. What is the value ofm(x² - 3x +4)?А.С. 2В.D. 14. Which of the following denotes the definition of limit of a function?А.lim f(x) = LC. x approaches c as LВ.f(x) approaches LD. lim f (x) = x5. Graphing the limit of the f(x) =1%3Das x approaches to zero, which statement iscorrect?A. The limit of the function is equal to zero.B. The limit of the function does not exist. Directions: Enc1. Which mathematical expressionfunction x2 +2 as x approaches to 3 is equal tolim (x2+2) = 11lim (x2-2) = -11C. lim (x2 +2)D. lim (x2- 2) = 11x-3A.В.2. Which function becomes undefined?f(x) = 0C. f(x) = LD. f(x) =; b= 0А.В.X =c3. What is the value of lim (x² – 3x + 4)?x-2С. 2A.В.3D. 14. Which of the following denotes the definition of limit of a function?C. x approaches c as LD. lim f (x) = xA.lim f(x) = LВ.f(x) approaches L5. Graphing the limit of the f(x) = - as x approaches to zero, which statement iscorrect?A. The limit of the function is equal to zero.B. The limit of the function does not exist.C. The limit of the function is positive infinity.D. The limit of the function is negative infinity.6. What is the limx²+x-6'equal to?x-3x+3А. 1В. 3С. 2D. 31

Since you have asked multiple questions, we will solve the first question for you. If you want any…

1. Which mathematical expression corresponds to the statement "the limits of the function x2 + 2 as x approaches to 3 is equal to 11"? lim (x2 + 2) = 11 C. lim (x² + 2) = 11 x →3 А. x--3 В. lim (x2- 2) = -11 D. lim (x² – 2) = 11 x--3 x-3 ndefined?

1. Which mathematical expression corresponds to the statement "the limits of the function x2 + 2 as x approaches to 3 is equal to 11"? lim (x2 + 2) = 11 C. lim (x² + 2) = 11 x →3 А. x--3 В. lim (x2- 2) = -11 D. lim (x² – 2) = 11 x--3 x-3 ndefined?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 54E

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

and radical)
What I Know
Multiple Choice.
Directions: Encircle the letter of the correct answer.
1. Which mathematical expression corresponds to the statement "the limits of the
function x2 + 2 as x approaches to 3 is equal to 11"?
C. lim (x2 + 2) = 11
x →3
А.
lim (x2 + 2) = 11
D. lim (x² – 2) = 11
x -3
X--3
В.
lim (x2-2) = -11
x--3
2. Which function becomes undefined?
f(x) = 0
C. f(x) = L
D. f(x) = ; b= 0
А.
В.
X = c
3. What is the value of
m(x² - 3x +4)?
А.
С. 2
В.
D. 1
4. Which of the following denotes the definition of limit of a function?
А.
lim f(x) = L
C. x approaches c as L
В.
f(x) approaches L
D. lim f (x) = x
5. Graphing the limit of the f(x) =
1
%3D
as x approaches to zero, which statement is
correct?
A. The limit of the function is equal to zero.
B. The limit of the function does not exist.

Directions: Enc
1. Which mathematical expression
function x2 +2 as x approaches to 3 is equal to
lim (x2+2) = 11
lim (x2-2) = -11
C. lim (x2 +2)
D. lim (x2- 2) = 11
x-3
A.
В.
2. Which function becomes undefined?
f(x) = 0
C. f(x) = L
D. f(x) =; b= 0
А.
В.
X =c
3. What is the value of lim (x² – 3x + 4)?
x-2
С. 2
A.
В.
3
D. 1
4. Which of the following denotes the definition of limit of a function?
C. x approaches c as L
D. lim f (x) = x
A.
lim f(x) = L
В.
f(x) approaches L
5. Graphing the limit of the f(x) = - as x approaches to zero, which statement is
correct?
A. The limit of the function is equal to zero.
B. The limit of the function does not exist.
C. The limit of the function is positive infinity.
D. The limit of the function is negative infinity.
6. What is the lim
x²+x-6'
equal to?
x-3
x+3
А. 1
В. 3
С. 2
D. 3
1

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