Question

either evaluate or explain why limit does not exist
lim f(x) x -->5 where f(x) {x+3, if x does not equal 5 AND 4, if x = 5} piecewise
they have the limit as 8? why is it only 8?

Expert Solution
Check Mark
Blurred answer
Students who’ve seen this question also like:
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
Not helpful? See similar books
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Polynomial And Rational Functions. 60E
marketing sidebar icon
Your question is solved by a Subject Matter Expert
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Get 24/7 homework help!
8+ million solutions
Get access to millions of step-by-step textbook and homework solutions
Support from experts
Send experts your homework questions or start a chat with a tutor
Essay support
Check for plagiarism and create citations in seconds
Solve math equations
Get instant explanations to difficult math equations
Students love us.
Students love us.

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: The FunctionF(x)=4x^3-5x+1 is both continuous and differentiable at x=2. Write this facts as limit…

A: Given :F(x)=4x3-5x+1

Q: Evaluate the limit if it exists. If not, determine whether the one-sided limits exist. For limits…

A: Click to see the answer

Q: find the limit or explain why it does not exist. 1 - Vx lim 1- x

A: we have to find the limit . limx→11-x1-x

Q: Evaluate the limit if it exists. If not, determine whether the one-sided limits exist. For limits…

A: We have to evaluate the limit of this expression.

Q: . What is the limit of f (x) = 4 as x approaches ??

A: Let's find.

Q: Evaluate the limit if it exists. If not, determine whether the one-sided limits exist. For limits…

A: Our Aim is to evaluate the limit of the expression given below:-limx→1 x3-xx-1-(i)

Q: 1.Can you easily apply the addition rule for limits to this function? Why or why not? What is the…

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: Evaluate the limit by examining one-sided limits and sketch the graph of the function to verify. x+1…

A: Given limx→-2x+1x2-x+6   To evaluate limit and graph the function to verify

Q: Find limit x appraoaches infinity  ( 2 -x - 1)

A: Given limit is limx→∞2-x-1=limx→∞12x-1 Now, x→∞⇒2x→∞⇒12x→0 Therefore, limx→∞2-x-1=limx→∞12x-1=0-1=-1…

Q: Find the limit of  limitx->0= x2+4,

A: Click to see the answer

Q: Evaluate the limit if it exists. If not, determine whether the one-sided limits exist. For limits…

A: Evaluate the limit if it exists.       limθ→143tanπθ

Q: Use a calculator to estimate the limit. x2. 16 lim x-4 x+4 Does not exist 4 8

A: It is given that, limx→4x2+16x+4.

Q: Evaluate the limit if it exists. If not, determine whether the one-sided limits exist. For limits…

A: Given: Evaluate the limit if it exists. If not, determine whether the one-sided limits exist. For…

Q: Find the limit x approaching -1 f(x): x2-2x-3/(x3-5x2+7x-3)

A: fx=x2-2x-3x3-5x2+7x-3

Q: lim f(x) x--> 3, where f(x) = {2(x+1), if x < 3 or 4, if x = 3, or x^2 - 1, if x > 3}…

A: First we find the limit of f(x) from left side and right side .

Q: 6. a) State why the limit of f(x) = √5x - 1 does not exist for x

A: Please refer to the image below

Q: Evaluate the limit if f(x) = 6x on [0, 3]. (Give your answer as a whole or exact number.)

A: Click to see the answer

Q: 10. Evaluate the limit: -3x -9 x +3 lim x--3+ \x2 +x- 6 x-2/

A: Given: L=limx→-3+-3x-9x2+x-6+x+3x-2 We know that  limx→afx+gx=limx→afx+limx→agx…

Q: Find the limit  x appraoaches infinity (2 + 10x  ) / (3- 10 x )

A: For simplification, divide the numerator and the denominator of the fraction by 10x.…

Q: 2. f (x) 3 - 2x² if xくQ こ 2 メ if x 2 2

A: f(x)= x3-2x2 ; x<22-x ; x≥2       a=2 , if f is differentiable , then f'(2) should be finiteusing…

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. Show all work! 2x 1 lim…

A: Given: limx→0.5-2x-12x3-x2 We have to find the value of the given limit

Q: find the limit or explain why it does not exist

A: Given : limx→012+x - 12x

Q: Evaluate the limit if it exists. If not, determine whether the one-sided limits exist. For limits…

A: Given: limx→-13x2+4x+1x+1 for evaluating given limit, first factorize numerator and then simplify it

Q: Find the limit (if it exists). If it does not exist, explain why.

A: To evaluate the limit: lim△x→0-1x+△x-1x△x. Here, x will be treated as constant. When we put the…

Q: 2 Find the limit or show that it does not exist. 8. lim (/4x2 + 3x + 2x) X→-0

A: Click to see the answer

Q: Exercise To Try 17 Find the limit 1- x – x2 lim 2x2 7

A: Dear student as per our rule we can only solve one question in one session. Please post the other…

Q: 3 - – If lim f(x) = 3.5 and lim,-2+ f(x) = 6. 5 , the function has a double sided %3D x→2- limit or…

A: Given,          limx→2-fx=3.5 and limx→2+fx=6.5We know that,           Condition of double sided…

Q: Find the limit (if it exists). If it does not exist, explain why.

A: Consider the provided expressions, limx→10+|x-10|x-10 Find the limit (if it exists). If it does not…

Q: Evaluate the limit: lim 1-16 x3-8 x2 limit as x – - > 2 x ^ 4 - 16 divided by x^ 3 8

A: Click to see the answer

Q: 2. Find the limit of the function (if exists). If the limit does not exist, explain why. For…

A: using  a2-b2 = (a-b)(a+b)

Q: 3. What is the limit x+5 а. lim х-2 х-4 X-4 b. lim X+4 x3-64

A: Click to see the answer

Q: Evaluate the limit if it exists. If not, determine whether the one-sided limits exist. For limits…

A: Given: limx→b x3-b3x-b.

Q: 3- If lim f(x) = 3.5 and lim,2+ f(x) = 6.5 , the function has a double sided x-2- limit or one sided…

A: Click to see the answer

Q: 4. Evaluate the limit if it exists. Use proper notation. 3 - VI (а) lim x9 9x - x2 (b) lim xe

A: Click to see the answer

Q: Let's start by reviewing some limits at infinity. Remember that the techniques we use are a bit…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 3. Evaluate the limit. You don’t need to state the properties. 2x2 — х — 3 lim x--1 x2 + 5x + 4

A: Click to see the answer

Q: find the limit or explain why it does not exist

A: To evaluate the limit: limx→02+x3-8x We can find that it is 00 form. We know that if we have 00 or…

Q: (a). Show that limit x→1, does not exist if (3-2х for x<1 f(x) = { 6x-4 for x21

A: Click to see the answer

Q: Vse L Hospital's rule to find the limit 2メ+1 2x-3 2x+5 Xー→ 00

A: Given limit, Let us use the property, u = eln(u) . Using logarithmic property,

Q: he limits of the followi X-2 2. lim х->2 X — 8 x'-8

A: Click to see the answer

Q: 2. Find the limit algebraically by factoring the expression first. lim x-10

A: Click to see the answer

Knowledge Booster
Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • Algebra & Trigonometry with Analytic Geometry
    Algebra
    ISBN:9781133382119
    Author:Swokowski
    Publisher:Cengage
    Elementary Geometry For College Students, 7e
    Geometry
    ISBN:9781337614085
    Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
    Publisher:Cengage,
    College Algebra
    Algebra
    ISBN:9781938168383
    Author:Jay Abramson
    Publisher:OpenStax
  • College Algebra
    Algebra
    ISBN:9781305115545
    Author:James Stewart, Lothar Redlin, Saleem Watson
    Publisher:Cengage Learning
    Algebra and Trigonometry (MindTap Course List)
    Algebra
    ISBN:9781305071742
    Author:James Stewart, Lothar Redlin, Saleem Watson
    Publisher:Cengage Learning
    Linear Algebra: A Modern Introduction
    Algebra
    ISBN:9781285463247
    Author:David Poole
    Publisher:Cengage Learning
  • Algebra & Trigonometry with Analytic Geometry
    Algebra
    ISBN:9781133382119
    Author:Swokowski
    Publisher:Cengage
    Elementary Geometry For College Students, 7e
    Geometry
    ISBN:9781337614085
    Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
    Publisher:Cengage,
    College Algebra
    Algebra
    ISBN:9781938168383
    Author:Jay Abramson
    Publisher:OpenStax
    College Algebra
    Algebra
    ISBN:9781305115545
    Author:James Stewart, Lothar Redlin, Saleem Watson
    Publisher:Cengage Learning
    Algebra and Trigonometry (MindTap Course List)
    Algebra
    ISBN:9781305071742
    Author:James Stewart, Lothar Redlin, Saleem Watson
    Publisher:Cengage Learning
    Linear Algebra: A Modern Introduction
    Algebra
    ISBN:9781285463247
    Author:David Poole
    Publisher:Cengage Learning