The graph below shows the piecewise function ?(?). Using the graph, determine the following.If a limit does not exist, just state "DNE" (Does Not Exist) 269743NM52-12 -10 - 8 -6 F4 -2_12.6.1012-2-4-5a) lim f(x) =b) lim f(x) =x→-8+c) f(-8) =%3DX→-8-d) lim_f(x) =X→ー2-e) lim f(x) =f) f(-2) =X--2+g) lim f(x) =h) lim f(x) =x→6+i) f(6) =j) lim f(x) =k) lim f(x) =I) f(10) =X-10-X-10+

Topic = Limits As per guidelines , At a time only three sub-parts of a question can be answered.…

Answered: -12 -10 -8 -6 -4 -2 1 2. 4. 6. 10 12 -2…

Math

Calculus

-12 -10 -8 -6 -4 -2 1 2. 4. 6. 10 12 -2 -3 -5 a) lim f(x) = b) lim f(x) = X-8+ c) f(-8) = ズ→-8-

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...

See similar textbooks

Related questions

Q: . Does the existence and value of the limit of a function ƒ(x) as x approaches c ever depend on what…

Q: ry? – 1 lim (z.9)¬(1,1) y – 1 Evaluate the limit

Q: Use l'Hospital's Rule to find the exact value of the limit. lim x→∞ ((1 +(3/x))^x

Q: Use the following graph to find limits(Enter DNE if limit does not exist). Graph of f(x) 6 3 -10 -9…

A: We have to solve the problem

Q: Estimate the limit of the following functions from the left and from the right and then state…

A: We have to find the limit from the left and right.

Q: (– 6 + h)? – 36 - Evaluate the limit: lim h→0 h

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y c= -3 6- (-3,5), 4…

A: Analyse the graph at point x=-3

Q: 2. Determine if the limits of the following function exists. If it exist, 2х2 - ху — у? give the…

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y c = -2 4- (-2,3).…

A: Given,

Q: Use l'Hospital's Rule to find the exact value of the limit. lim (1 + 8)*

Q: Evaluate the limit using L'Hôpital's rule e – x I – 1 lim 5x2

A: See the details solution in below

Q: 1. For the following functions determine the following limits (if they exist): (i) lim =-5e+3 (iii)…

A: As many questions are given , I will solve the first Question (3 parts) We have to evaluate the…

Q: 1. Determine whether or not the following limit exists. Be sure to include an argument supporting…

A: Given limit function: limx,y→0,02x2-xy-y2x2-y2 First, trying to solve by direct substitution,…

Q: Evaluate the limit of f(x) = - at x=0. (Think about how a limit breaks down to sided limits. What…

A: Given limit limx→01x

Q: Use the following graph to find limits(Enter DNE if limit does not exist). Graph of f(r) 3 2 -10-9-8…

A: Here we have to find the following limits from the graph, a) limx→-2f(x)=?b)limx→0f(x)=?c)…

Q: f(2) – f(9) Given that f(z) =- 9z. Evaluate the limit: lim -

A: Put the value of the function in limit and simply it and get the answer.

Q: Determine the value of the limit if it exists. If it does not exist, explain why. ry? lim…

Q: Question: What is the notation for "the limit as x approaches a from above of the function f (x) is…

A: Here we write the notation of the above statement.

Q: -y 2- -6 -2 -2- Given the graph of f (z) above, find the following limits. To enter 00, type ifinity…

A: Given The graph f(x) has vertical asymptote at x=4 and horizontal asymptote at y=0 .

Q: Which of the following statements are correct for C-4y lim (,1) (0,0) 2y +3 I) Approaching along the…

A: Let's move across the path y = x We get the value of -3/5 but that doesn't mean that limit exists.…

Q: Use the graph of f to find the indicated limit f(3) or function value.

Q: According to the definition of the derivative, to compute f'(0), we need to compute the left-hand…

A: Find the derivative of f(x) at x=0

Q: his question is designed to be answered without a alculator. Use this graph of function f. y 5+ 4 A…

Q: Based on the graph of f(x) below answer the questions to the right. If a limit does not exist, write…

A: Limit of a function.

Q: The value of the limit lim a/VE -, а > 1, is av + a/v (1) 4 (2) 2 (3) -1

A: Solve the following

Q: Explain how the following limit works and what it is used for. f(x+h)-f(x) h lim h 0

A: Given Data: limh→0fx+h-fxh the following limit works and what it is used for.

Q: Let f(æ) = 8x? + 3. Evaluate f(2 + h) - f(2) lim (If the limit does not exist, enter "DNE".) Limit =

A: This is definition of derivative of the function at a point (here point is x=2). The way to find the…

Q: lim 3 1. x+00

A: To evaluate the given limit.limx→+∞1-3xx

Q: i Let f(r) = 822 +3 Evaluate f(-1+h) – f(-1) lim h (If the limit does not exist, enter "DNE".) Limit…

A: fx=8x2+3To find limh→0f-1+h-f-1 h

Q: Show the limit does not exist by choosing two paths to the origin whose limits L1 and L2 are not the…

Q: By using the precise definition of the limit of a function show that lim (x,y)→(0,0) 3xy2 /(2x2+ y2…

A: If value of a function at some point is in indeterminate form then we use concept of limit to find…

Q: Question: What is the notation for “the limit as x approaches a from below of the function f (x) is…

A: What is the notation for " the limit as x approaches from a below of the function f(x) is L"

Q: Use the limit definition to find the slope of the tangent line to the graph of f at the given point.…

Q: Evaluate the limit using L'Hospital's Rule. est - 1 lim t-0 t

Q: Q1. By using the definition of the limit, discuss the limit of the function f:RRif the value of the…

Q: Question: How else might you define "the limit as x approaches a of the function f (x) is L"? 3.

Q: Guess the value of the limit (If it exists) by evaluating the function at the given numbers. x2. -…

A: To find the limit value using table filling

Q: What is the limit of the function as x approaches -4 from the left? * (6,5) (14) (-4,2) *(6.2) -4 -2…

Q: Does the existence and value of the limit of a function ƒ(x) as x approaches c ever depend on what…

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y c = -5 10- (-5, 9)…

A: The graph of the function f(x) is given and

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y c= -2 4 (-2, 3). 3…

Q: Evaluate the following limit. Use l'Hôpital's Rule when it i- y +6y- 16 lim y→2 8-y-y y + 6y - 16…

Q: find the limit f(x)= (5-x)/x2-25 a) find the x values at which discountous b) which…

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined point, take…

Q: Let f(x)=√x - 7. Then lim h→0 f(3+h)-f(3) h 1 2√3 If the limit does not exist enter DNE.

A: Laplace transform:- If limh→0f(h)g(h) is of the form 00 then limh→0f(h)g(h)=limh→0f'(h)g'(h) and so…

Q: Find the values of m and b that make f continuous everywhere: 42 +a – a2 I+ 6 if x 3 When showing…

A: Follow the procedure given below.

Q: Given a function f(x) = c, where c is some constant. Show that f'(x) = 0. (Hint: by limit…

Q: for the limit lim x->infinity (x^2/2^x) i am supposed to create a table of x at…

A: Created the table using the equation and calculator.

Q: For each of the limits in parts (a)-(c), determine if the limits exist as a number, as an infinite…

Q: Guess the value of the limit (If it exists) by evaluating the function at the given numbers. llm (2…

Question

The graph below shows the piecewise function ?(?). Using the graph, determine the following.
If a limit does not exist, just state "DNE" (Does Not Exist)

269743NM
5
2
-12 -10 - 8 -6 F4 -2_1
2.
6.
10
12
-2
-4
-5
a) lim f(x) =
b) lim f(x) =
x→-8+
c) f(-8) =
%3D
X→-8-
d) lim_f(x) =
X→ー2-
e) lim f(x) =
f) f(-2) =
X--2+
g) lim f(x) =
h) lim f(x) =
x→6+
i) f(6) =
j) lim f(x) =
k) lim f(x) =
I) f(10) =
X-10-
X-10+

Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Prove that a.) lim 3x-1/x-1=1 as x --> 0 b.) lim sinx/x=1 as x --> 0
a) calculate the limit x--> -7 x^2+6x-7/x+7 without using L Hoputals rule b) calculate lim x--> ∞ 2x^5-x^4+1/8x^5+x^3+x-2
Find the limit: limx→0 x3sin(1/3x3)
Compute this limit to infinity limx→∞ of (7x^3 + 2020x+ 4)/(πx^3+ 18x^2+ 12)
find the limit of lim x->3 sin(x-3)/x^2-x-6
Find the limit. lim x--> infinity ln (3x2-1/x2+1)
Find limit lim x--> infinity of f(x)= (1+7/x)x
Evaluate the limit. limx→2 e^x^2−e^4/x^2 −2x
A. Explain why these limits do not converge. i. limx → 1+ |x-1| / (x-1)ii. limx → 1+ |x-1|iii. limx → 1+ |x-1| / (x-1)2
Show limx→∞ xne−x = 0 for all n = 0, 1, 2, . . . . To get started notice that when x ≥ 0, all the terms in (1) are positive.
limit as x approaches infinity of (1-x)/(3n+5)
what is the limit of lim xsinx / 2-2cosxx--0 problems online show l'hopitals rule but i was wondering if there is another way to solve it without using that rule