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?

### Want to see the full answer?

Check out a sample Q&A here*arrow_forward*Check out a sample Q&A here

*star_border*

## Related Calculus Q&A

Find answers to questions asked by students like you.

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

A: Definition and methods help to find the required limit of the given function. A value is said to be…

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

A: We find the limit by substitution

Q: 7. mustrate the definition of the limit by finding values for 8 that corresponds to ɛ = 0.25 for…

A: Click to see the answer

Q: Use continuity to evaluate the limit. ,2 lim 2x - 4 X→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: Click to see the answer

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (15– 2x for x<7…

A: Click to see the answer

A: Click to see the answer

Q: Find the one-sided limit (if it exists).

A: We first factor the denominator

Q: 9. Use the definition of the limit of a function to prove that 4x2 - 7x - 2 lim x - 2

A: The definition of the limit is that the value of the function approaches a particular value with…

*question_answer*

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

*question_answer*

A: Click to see the answer

*question_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

*question_answer*

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

*question_answer*

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

A: Let's find.

*question_answer*

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

*question_answer*

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…

*question_answer*

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

*question_answer*

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…

*question_answer*

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

A: Click to see the answer

*question_answer*

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

*question_answer*

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.

*question_answer*

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

*question_answer*

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

A: fx=x2-2x-3x3-5x2+7x-3

*question_answer*

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 .

*question_answer*

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

A: Please refer to the image below

*question_answer*

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

*question_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…

*question_answer*

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.…

*question_answer*

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…

*question_answer*

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

*question_answer*

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

A: Given : limx→012+x - 12x

*question_answer*

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

*question_answer*

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…

*question_answer*

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

*question_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…

*question_answer*

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…

*question_answer*

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…

*question_answer*

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

*question_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)

*question_answer*

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

*question_answer*

A: Given: limx→b x3-b3x-b.

*question_answer*

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

*question_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

*question_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…

*question_answer*

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

*question_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…

*question_answer*

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

*question_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,

*question_answer*

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

A: Click to see the answer

*question_answer*

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

A: Click to see the answer