f(x)– 2 (a) Is lim positive? ("yes" or "no") f(1+h)– 1 (b) lim

Q: 2.x – 3 - Find lim x→-∞ 4 – V5x² – x – 2

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Q: x6-4x3 If f (x) = 3-2x²+3' Solve to find lim f(x)?

A:

Q: lim as x approaches 4 from the right of 8-2x/|x2-x-12| a. 2  b.-2  c. -1  d. 4  e. infinity

A: The given expression is,

Q: a) lim -Vx+7 2-x x-2 b) lim x+1 Show your work

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Q: lim (Vx² +1 – (x+ 1))

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Q: Evalugte lim(3x-1)/x Xー>○ X/2

A: The solution is :

Q: x-7 Evaluate lim- +1 Jx-3 - 2 Vx- 3 –

A: Consider the given fraction: limx→7x−7x−3−2Rationalize the…

Q: lim x approaches -3  x + 3 /[x2 + 4x + 3]

A: Given: limx→-3x+3x2+4x+3 Apply the limits. limx→-3x+3x2+4x+3=-3+3-32+4(-3)+3=09-12+3=00 As, it…

Q: х3-x2-5х-3 (х+1)* (iii) lim x-1

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Q: x²-4 (b) lim 4-2 X+2

A: We have to evaluate the limit: blimx→-2x2-4x+2 After putting limit value we get that it is in the…

Q: 4 x*-81 Find lim- x+3 2x²-5x-3

A: First of all we will factorise the numerator and denominator separately and then cancel out the…

Q: lim f(x) = %3D x-8-

A: We can clearly see from the graph that, f(x) is discontinous at  x = -8  But, if we move slightly…

Q: 1. Evaluate. x'- 2x +12 a) lim x² +1 x² -8x + 7 b) lim- x-7

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

Q: 2x e-2x2 lim २३

A: We can find the solution by applying the L' Hospital's rule for limit calculation.Here if we get 0/0…

Q: Lim JX-J2 メ→ x²-4

A:

Q: x2-1 lim x-1 Vx-1

A: The given limit is limx→1x2-1x3-1

Q: (a) lim 1+ x2

A: Solving the problem by obtaining the limit.

Q: 2-x x+²√√x+2-√√3x-2 c) lim-

A:

Q: x2 -x-6 2. lim -2 x2 -2

A: The given limit expression is limx→-2x2-x-6x2-2.

Q: The limit of the function lim x → − 2 ( 2 − | x |/ 2 + x )

A: Here we have to find the value of limit limx→-222-x2+x

Q: 9- 3x x ス-2 g (x)= ax + 3b 4x t b to Find A and B lim g(x) x->-2 lim 9 (x) メー>」

A: g(x)=a-3x,x<-2ax+3b,-2≤x≤14x+b,x>1

Q: V3+x-V3 is limx→0

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Q: (-x² – 6x–10 xs-2 1. lim g(x), where g(x)={ x>-2

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Q: x3 - x2 - 5x lim x-1 - 2 (x + 1)2.

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Q: 3x4-x2 2) x"m. (2 + inx) lim lim 1) x4-1

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Q: 3 - 2x? +x- 2 Use L'Hopital's Rule to evaluate Support your answer graphically. lim X2 x² +x-6

A: To find: The limit by L'Hopital rule. Given information limx→2x3-2x2+x-2x2+x-6

Q: х-2 Determine lim x→2- 2-V4x-x²°

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Q: x-2x x (水) 3t-4 t- lim 4-t

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Q: x-2| Find lim x2 x-2

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Q: 2- -1- -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 3 -1 -2 -3 --4 -5 -6 -7- Provide your answer below: lim f(x)…

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Q: x3 - 1 (x + 1)2 Let f (x) = Find lim f(x)? | x² - 5x + 4 x² + 1 X-1

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Q: x - 4x-12 a. lim X--2 x+2 V16-x-4 b. lim X-0

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Q: Н.W: 3 lim x*-2x2-8 1-x2 х2-4 3- lim V3x-3 X-3 2- lim (1+x)2-1

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Q: x² – 4x lim +-1 г2 — 3х — 4 I-1 x

A: Limit does not exist Explanation is given below...

Q: 2. x+3-16-11x-x ² Lim X-1 GAMA

A: as per our guidelines, I m solving only one question, please resubmit other questions To find1. lim…

Q: x- 2 5. Evaluate lim- 1→2 Jx+2 - 2 Solution:

A:

Q: (r-2)(z²–3z+4) Use the graph of f(x) = (x-2)(z²–3z+4) (포-2) to evaluate lim- (포-2) O 2 3 does not…

A:

Q: lim (2a +x) X-

A: We find the limit by substitution

Q: Jx-2 %3D F(x) x²+x-6 Does lim F(x) exist? x-2

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Q: 2x -x+3 compute lim ∞ x- 2r +5

A: To compute the limit:  limx→∞2x2-x+3x2-2x+5 Solution: We know that, 1∞=0 Taking out x2 from both…

Q: 2x a. lim x-+3" X - 3

A: limit

Q: x² - 5x – 24 lim Calculate the limit: x-3 x+3

A: the given limit is: limx→-3x2-5x-24x+3 we have to evaluate the given limit.

Q: a) lim 3x + x2 x→1

A: We are asked to find the limit.

Q: (а) 5x-3 – 4 (i) Lim- x--00 2x-2 +9 (х— 3)2 (iї) Lim X-0 x2 7- 2x – 3 2х —

A: (i) Obtain the limit as follows.…

Q: Find the limits

A: Find the limits

Q: 3. Prove lim 3x-7= 2 X-3

A:

Q: x3-7x2 +10x Which shows that the lim is an indeterminate form? x-2 x2+x-6 x3-7x2+10x lim x→2 x2+x-6…

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Q: V2r (x – 1) |x – 1| V2r (x – 1) |x – 1|| a. lim b. lim

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Q: answer does not exist, explain why. x - 1- V3x +1 a. lim- х — 5 1- x b. lim (x – 6)²

A:

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.