(2æ–1)²–9 -6- lim x+1 x→-1

Q: 8) Evaluate the limits: a. lim x sin X00 ex-x-1 b. lim x3

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: 6) Evaluatc the limit lim 12 +4x2 メー → 0 9 t4X

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Q: Vx + 2 – 2 Evaluate the limit lim x→2 x2 – 4

A: We can evaluate the limit in the following steps.

Q: (7 + h)² – 49 Evaluate the limit: lim

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Q: 9.. Ax)= 2x² +x lím f(x), lim f(x), limf(x), a) Analyze the following limits: x-1 lím f (x) Based on…

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Q: _15. What is lim f(x)? X-4 A. 0 В.1 С.2 D. Does Not Exist

A: Given: Following graph is given. To Find: 15. limx→4fx=?

Q: 1. Find the limit. 1-a (b) lim (r- VI) (a) lim V +1

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Q: lim (x² + 1) = L x→2

A: Topic:- calculus

Q: 1. Find the limit if exists or show that the limit does not exist 3x²y² (a) lim (2,3)+(0,0) 24+4 (b)…

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Q: The process by which we determine limits of rational functions appliesequally well to ratios…

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Q: Find the limit, if it exists. (x² – 16 if x>0 Let f(x) =x2 -16 if x<0 x- 4 Find lim f(x). x-0- 00 -4…

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Q: 1. Find the limit. t² 4 8 lim t-2 +3

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Q: 2x+1 if x < 2 Let f(x) = x²-1 if x ≥2 Determine the one-sided limit lim f(x). x 2+

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Q: The value of lim x+ 2 x3 -8 is the same as x+2V x-2 A None of the given choices B lim Vx2 + 2x– 4 x+…

A: Given that, The Function is following, f(x) = limx→2x3-8x-23 We have to find the value of given…

Q: x2 – k2 4. For lim x→4 x find all the values for the constant k such that the limit exists. 4

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Q: 3 – x| Find the limit lim x→3 x² – 9

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Q: Q 5. Show the indicated limits are exists 1²+3t+2 lim R-t-2 x-1 (i) lim X-1 Vx+3 - 2 (ii). -1 2-t-2

A: (i) Given that limx→1 x-1x+3-2. Compute the limit as follows. limx→1 x-1x+3-2=00   (I.F). Apply…

Q: 4) Make a table for a sequence of carefully chosen values of a to estimate the limit 1® – 1 f(x) =…

A: By using table value of x for this given function to estimate this given limit

Q: 3. Find the indicated limits. if x 2 f(x) -2+ 4x – x² a) lim f(x) x→2+ b) lim f(x) x→2- c) lim f…

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Q: 4. Determine the limits: a) b) 4x²-8xy lim (x,y)-(2,1) (x²-xy-2y², lim (x,y) → (0,0)…

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Q: 1. Find the limits lim (3x – 1) x-1/3 a) | cos x b) lim x 1 - T lim y--5 5 - v c) 3h +1 - 1 d) lim…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 11. Find the limit using algebraic techniques. The limit of f(x) = -4 O- 0 O=¹ x+4 2x²+5x-12 as x…

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Q: Vx? +8 – 3 | Evaluate the limit: lim x→-1 x+1

A: Given:  Let y=limx→-1 x2+8-3x+1 To Find: To evaluate the given limit.

Q: (1) Evaluate the indicated limits, if exist (x³ + 1) -x (а) lim r+0 V9 + x² (b) lim In I→1+ (c) lim…

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Q: 1 Find the limit: lim X-I x+1

A: Our Aim is to find limx→(-1)-1x+1 -(i)

Q: |3 – x| Find the limit lim x→3 x2 – 9

A: For limit to be exist, Left hand limit must be equal to Right hand limit.

Q: (A) Find the following Limits. x + 5 2. limy-3 f (x) if f(x) = }2x²+4 , x 4

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Q: ? +1 y = 2л2 — 3х — 2

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Q: f(-4 + h) – f(-4) lim h-0 h where f(x) = 3x² +2. If the limit does not exist enter DNE.

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Q: V-2- +1 if a <-3 Let f(z) = 1 if a =-3 3x + 11 if r -3 Calculate the following limits. Enter "DNE"…

A: To find the left hand limit, right hand limit and limit at the given point.

Q: 4. If lim )-/(2) 0. which of the following must be true: x--2 x-2 (a) f(2) is not defined (b) Limit…

A: Given,           limx→2fx-f2x-2=0

Q: Find the limit. 1. lim (1.001)* 2. lim (1.001)* ズー ex -e -3x 3. lim 4. lime 3x -3x e* +e*

A: Topic = Limits As per guidelines , At a time only three sub-parts can be answered. Please repost for…

Q: Ise limit notation to describe the unbounded behavior of the given function as x approaches oo and…

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Q: 6- 4- 2- -6 -2 -4- Given the graph of f(1) above, find the fallowing limits. To enter 00, type…

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Q: Evaluating the following limits: Vx+5-V5 a. lim x-0 2x b. lim x-2 x-2 X+1 3 c. lim 3x cot(2x)…

A: Limit of the indeterminate forms

Q: 3. What is lim f(x)? lim f(x)? Why? 10+ 8. 6 4 2- -5 -4 -3 -2 -1 2 3 4 4. What is the limit of lim…

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Q: 1- Find the limits: Vx- 1 lim xI x-1 а. 2x3 b. lim X- o 3(x-2)2 2x3 c. lim X-2 3(x-2)2 x+1 d. lim…

A: Given: a)  limx→1x−1x−1=?b)  limx→∞2x33(x−2)2=?c)  limx→22x33(x−2)2=?d)  limx→3x+1(3−x)2=?

Q: Question L'Hopital's Rule can be used on which of the following limits? Indicate all the apply.…

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Q: - [x² + 2 if x < 2 (x) l(x - 3)2 if x 2 2 (a) Find the following limits. (If an answer does not…

A: Given function:

Q: |x| 3. Find the limit of lim x→0- X

A: solution:-the modulus functionx=x  if x&gt;00  if x=0-x if x&lt;0

Q: Use numerical or graphical evidence to determine the left and right hand limits of the function. |4…

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Q: x² +1 Evaluate the limit of limx ( - ax – b) = 0 - x+1

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Q: 3x +x 6. Evaluate the limit: lim- x→0 а. О С. 1 b. 3 d. -1

A: “Since you have asked multiple questions, we will solve ONE question for you. If you want any…

Q: (6x -1 x² +8 having limit atx = k. Find the value of k. x> k) D: If the function f(x) = %3D

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Q: 4x 7 lim 1+ Compute the limit: x→0

A: here we put value of limit then we calculate

Q: 4. Find the limit or show that it does not exist 2xy a. lim (x.y)-(1,1) x²+2y² 2xy b. lim (xy)-(0,0)…

A: First we have to solve a. Given: lim(x,y)→(1,1) 2xyx2+2y2 First we evaluate: lim(x,y)→(1,1) 2xyx2…

Q: 4. Use continuity to evahuate the limit. 5+ V lim X4 V5+x b) lim e-x X-1

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Q: 3. Determine the limit graphically. Confirm algebraically. x - 1 lim x-1 - 1 1² - 3t+2 lim 1-2 1² 4…

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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.