y=f(x) y X -1 Using the graph shown, what are the respective limits of each below? If there is no determined value record your answer as DNE or t00. Thanks, im sort of lost atm. lim f(x) lim f(x) lim f(x) lim f(x) lim f(x) x-3 X-3 ズ→=3 X--1 (x>3) (x<3) (x>3) 2. 2.

y=f(x) y X -1 Using the graph shown, what are the respective limits of each below? If there is no determined value record your answer as DNE or t00. Thanks, im sort of lost atm. lim f(x) lim f(x) lim f(x) lim f(x) lim f(x) x-3 X-3 ズ→=3 X--1 (x>3) (x<3) (x>3) 2. 2.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 7E

See similar textbooks

Related questions

Q: tanh x lim r+0+ sechx- 1

Q: Consider the function f(x) given by the graph below. f(x) y -5 Determine the limits. If a limit does…

A: Here, to answer the given questions about the limit using the given graph. Note that, the…

Q: I. Find the limit of the algebraic functions if it exists. Show your solution analytically. 1.…

Q: The graph of fis glven below. Use the graph to match the limits to thelr answers, Answers may be…

A: Given,

Q: X - iy Discuss the limit Lim I+0 X-1y y-0

Q: ath lim h>0 h Limit =

Q: f(2) = { 6- - 22 if x 1 Use a graph to determine the following limits. Enter DNE if the limit does…

A: A limit is a value that a function approaches as the input approaches some value. Limits are…

Q: Ose numerical and graphical evidence to guess the value of the limit .3 x– 1 lim x - I x-1 Tow close…

A: As x approaches 1, evaluate the function f(x)=x3-1x-1 for the numbers 0.99,0.999,0.9999,1.01 .1 .001…

Q: 1. The function shown A. is continuous at x = 2 B. has a limit that exists at x = 2 C. is…

A: solution is given below

Q: 1 lim X→0 In(1+x) 1 Arctanx

A: Solution: Consider the given limit function is: limx→01ln(1+x)-1arctan x simplifying, limx→0arc tan…

Q: [4 - x - x² if x 5 Use a graph to determine the following limits. Enter DNE if the limit does not…

Q: 8 - x2 if a 1 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) =…

A: Find limit by putting value

Q: f(x+h)-f(x) For f(x) = V5x +I, find f '(x) using the definition f '(x) = lim - h-0 f '(x) = Using…

A: use the given definition to determine f'(x):

Q: Flx)-efx=3), +6 ep 4: Analyze the function. (-0,00) (Gro0) Domain: Range: Equation of Asymptote: y=6…

Q: able of values to estimate the value of the limit (correct to three decimal places). If you have a…

A: Please refer to the image below

Q: a) lim f (x) : d) lim f(x) : x-4 x--3 b) lim_f(x)= e) VA: x--3- c) lim f(x) = f) f (x) has…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 8. if I – 3 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = エ}…

Q: x(cosr-1) X0 sin x-x Q3) Find the limit using L'Hopital's Rule lim Q4) A particle is moving along a…

A: limx→0xcosx-1sinx-x Now, put x=0, we get: xcosx-1sinx-x=01-10-0=00. Therefore, we will derivative…

Q: Find all values x= a where the function is discontinuous. For each value of x, give the limit of the…

Q: lim f(x) = 1 and lim f(x) = 2 are given. X→3+ X3" What is the value of following limit? 36 - f(2x –…

A: Solve the function

Q: Define constant t sö that the limit value exists lim ラ4 t-4 (6) lim >6 4x+1+xK x2+3++5 Iim 2x-5 (2)

Q: Please show step-by-step solution.

Q: (2 - a - a2 if a 3 Calculate the following limits. Enter "DNE" if the limit does not exist. - lim…

A: Find right hand limit and left hand limit, then check these are equal or not.

Q: lim f(x) = 5 x--2 lim f(x) = -5 x→-3 lim g(x) = -1 x--2 lim g(x) = -10 x--3 Apply the properties of…

Q: cos x b) Evaluate the limits: (i) lim x→ 0 \2x 4 1 (ii) lim[ x- 2'x2-4 х-2-

A: The objective is to evaluate the limit.

Q: 9. if a – 5 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x…

A: For the limit to exist, it should be unique and finite both. That is, left hand limit must be equal…

Q: Find the limit. lim x → 3− e3/(3 − x)

Q: V-5 - +3 if z - 6 Calculate the following limits. Enter "DNE" if the limit does not exist. 4x + 28…

A: fx=-5-x+3if x<-63if x=-64x+28if x>-6 We have to calculate the following limx→-6-fx limx→-6+fx…

Q: 2-x x² if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let…

A: we will find the limit.

Q: lim h(x) = 0, lim f(x) = –4, lim g(x)= – 10. xa Xa Find following limits if they exist. Enter DNE if…

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A: Here for each value of x, we will find the value of f(x) and form the table. The value of f(x)…

Q: Q2)valuate the limit: Limit x approach to 2 [sin(pi.x)]/[x^2-x-2]

Q: lim x to infinity x-2/x2+1 find the limit

Q: 1— х — (x lim = L x→0|1 – x – x Find the limit value L,

A: Note: There are two questions so please send other question separately. Given: limx→01-x-xλ-x-x=L λ…

Q: Let f(x)=cos(9x)-cos(5x)/x2 We want to find the limit limx→0 cos(9x)−cos(5x)/x2 Start by…

Q: [8.] (From Section 4.7) Evaluate the limit. Use l'Hopital's Rule when its convenient and applicable…

A: From the given problem: a. limx→0x2cscx So, we can also write as: limx→0x2cscx=limx→0x·limx→0xsinx

Q: (a) lim t4 9(x) L = O The limit does not exist at x = 4 because the function is not continuous at…

A: Given :…

Q: The cost C (in dollars) of producing x units of a product is C = 1.60x + 9,000. (a) Find the average…

Q: 6- x- x2 if x 5 Use a graph to determine the following limits. Enter DNE if the limit does not…

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand side limit of the…

Q: Evaluate the limit: lim 4 arctan x-T x-1 x →1 4 arctan x-T The graph of y is shown here. x-1 Which…

Q: 10)Guess the values of the limit (if it exists) by evaluating the function at the given numbers (…

Q: Complete the table and use the result to estimate the limit. Use a graphing utility to verify your…

A: Limit of the function : Let f(x) be the function the limit of the function at x=a is the…

Q: sin r Consider lim I+0 x +1 (a) Use the l'Hôpital's Rule process to obtain a limiting value of the…

A: a) on applying L-Hospital rule than we differentiate upper portion and lower portion separately lim…

Q: if x 3 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x→ - 3-…

Q: Use the e-N definition to show the following limits • lim cos n = 0; lim (Vn +1 – Vñ) = 0.

A: use ε-N definition to show that limits limn→∞n+1-n=0

Q: f(x) 3. What does lim = 0 show? X→∞ g(x) O g(x) grows faster than f(x) as x goes to infinity. Of(x)…

A: The given limit is limx→∞fxgx=0

Q: 2. Find the limits: 'x+1-1 lim- (h +3)² – 9 b) lim h→0 h cos x c) lim T cot x 2 d) lim sin 0

A: Explanation of the solution is given below...

Q: Create a table of values for the function and use the result to estimate the limit. Use a graphing…

Q: Which example in this section of the textbook shows that estimating limits numerically may not…

A: We have to estimate limits numerically may not always be accurate.

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

100%

y=f(x)
y
X
-1
-2
Using the graph shown, what are the respective limits of each below? If there is no determined value
record your answer as DNE or to. Thanks, im sort of lost atm.
lim f(x)
lim f(x)
(x<3)
f(x)
lim f(x)
lim f(x)
ズ→ー3
X→ー1
X→ー2
(x>3)
(x>3)
2.

Expert Solution

Step 1

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Limits and Continuity$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Minimum Find the minimum value of x2+20/(x+1) on the horizontal span of 0 to 10.
Use limits to determine the equations for all vertical asymptote. y=(x2-x-2)/(x2-2x+1)
1. Evaluate lim (2x-5) given its graph below. x →2 a.0 b. -1 c. 2 d. 1 2. Given the graph of f(x) below, evaluate its limit as x approaches 3. a.2 b. 3 c. 1 d. 0
lim x2-4x/x2-16 (Guess value of limit) x-->4
limx-->0 Evaluate the limit (-4+h)2-16/h
Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) lim x→−4 x2-16/x+4 Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result. g(x) =
considering the function: I. The value of a so that the limit of f(x) exists when x tends to 0 is: a= 2. the function( ) and keeps going( ) has a jump-type discontinuity( ) has a removable type discontinuity( ) has an infinite type discontinuity
The cost C (in dollars) of producing x units of a product is C = 1.60x + 9,000. (a) Find the average cost function C. C = (b) Find C when x = 1,000 and when x = 10,000. C(1,000) =$ per unit C(10,000) =$ per unit (c) Determine the limit of the average cost function as x approaches infinity. lim x→∞ C(x) = Interpret the limit in the context of the problem. As more and more units are produced, the average cost per unit (in dollars) will approach $
nd the limit, if it exists. If the limit does not exist, explain why. limx→2 1−|x|^2/1−x^2 You must show ALL of your work in order to receive full credit. Do NOT use differentiation. Do NOT use L'Hospital's Rule.
5. Given the graph of g(x) = {√−x−2+1, x<-2 x2+2x+5, x≥-2 below, evaluate its limit as x approaches -2. a. 3 b. 1 c. the limit does not exist d. 5
The graph of the function f(x) is given: [15] (a) Find each limit, or explain why it does not exist.(i) limx→2+f(x) (ii) limx→−3+f(x) (iii) limx→−3 f(x) (iv) limx→4f(x) (v) limx→0 f(x) (vi) limx→2−f(x) (vii) limx→∞ f(x) (viii) lim x→−∞f(x)(b) State the equations of the horizontal asymptotes.(c) State the equations of the vertical asymptotes.(d) At what numbers f is discontinuous? Explain.
(a) for g(t)= t-9/square root t-3 . Make table of values with at least six appropriate inputs to evaluate the limits as t tends to 9. (b) make a conjecture about the value of lim t-9/square root t-3. t->9