x² -81 lim X-9 Jx -3 1 lim x→0 X

Q: lim x 1. x- 3.

A: Follow the procedure given below.

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

A: Given: gx=1-x,       x≤1 gx=x+1,          x>1 The limit limx→1+gx is the right hand limit at…

Q: Consider the limits. lim f(x) = 4 x-7 lim g(x) = -14 x-7 Evaluate the limit using the limit law for…

A: limx→7fx=4limx→7gx=-14To find:limx→73fx+xgx+1

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

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Q: Calculate one-sided limits and find the limit (if it exists) for the following functions. If the…

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

A: Given limit limx→16 x-4x-16

Q: 4. lim (3+x2) X+-2

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

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Q: Find the limit L. Then use the - definition to prove that the limit is L

A: The given limit L is,

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

A: Given data:   *The function f(x) is f(x)=x+2/2, when x<3. *The function f(x) is f(x)=12-2x/3,…

Q: 5) Find the indicated limit if it exists. √√x+4-2 a) lim x-0 X 8x³+27 b) lim x-1.5 2x + 3

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

A: A limit limx→afx exists if its both left-hand and right-hand limits are equal and finite. The…

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

A: To evaluate the given limit substitute x=3 and y=2 in the given function.

Q: Evaluate the following limit of a function x4-81 a. lim x-3 x-3 b. lim(- ) x0 x ex -1 cotx C. lim-…

A: We will answer the first 3 subparts since exact number of subparts are not specified, please…

Q: Find the limit. lim x→3 1−x2/(x-3)2

A: Given, The limit limx→3 1-x2x-32  We have to find the limit.

Q: Determine the limit graphically, if it exists. lim f(x)= x +1+ f(x) it + 1 -5 -4/-3 -2 -1 -1- 4 5 x…

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Q: find the limit or explain why it does not exist. x'/3 – 1 lim iVx – i Vx – 1

A: The given expression is limx→ 1x13-1x-1

Q: What does the limit notation lim f(x) = L mean? Xa"

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Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

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

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Q: Let f(x)=2x2+7f(x)=2x2+7. Evaluate limh→0f(−2+h)−f(−2)h.limh→0f(−2+h)−f(−2)h. (If the limit does…

A: Given function is Firstly, we find f(-2+h) and f(-2) as follows.

Q: evaluate the limit assuming that lim f(x) = 3 and lim g(x) = 1.…

A: Given: evaluatelimx→-4gxx2, limx→-4gx=1 for finding this limit, we use given limit values

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

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Q: Find the limit L. Then use the e-8 definition to prove that the limit is L. lim x→-4 \2 L =

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Q: 3. lim (x-8) ギーー7

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Q: For the function (1- x if x 1 evaluate the limit lim f(x). メー1 (If a limit does not exist, enter Ø…

A: This question is based on Limits calculation of a function.

Q: Determine whether the limit exists. If it exists, find its value. lim x → 1+ f(x) 5 4 3 2 -1 Does…

A: Given, graph we need to calculate the value of limx→1+f(x) Here we need to calculate the value for…

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

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Q: Compute the limit if it exists, otherwise show your reason why the limit does not exist. |22 – r|…

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Q: Use lim f(x) = -2 and lim g(x) = 5 to find the limit. %3D lim [3f(x) – 4g(x)]

A: The given limits are limx→cf(x)=-2 and limx→cg(x)=5

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

A: Here we have to find the limit of the functionf(x,y)= x4-y4x2+y2

Q: Find the specified limit. x',x -1 lim f(x) - ? 2. Find the limit (if any) Jx-5 lim x-25 x- 25

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

A: Given: limx→11-x1-x for evaluating given limit, we factorize denominator and find limit

Q: 9. lim V X-32

A: 9)limx→32x5

Q: Evaluate the limit |x – 1| lim x→1¯ (x+ 1)(x – 1) 00 The limit does not exist and is not equal to…

A: In the question we have to calculate the limit of following expression given.

Q: find the limit if it exists lim f(7+h)-f(7)/h for f(x)=-x+1 h -> 0

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Q: OUse the e, & definition of the limit to prove that: lim -4x + 5 = -3 x- 2 der: lim f(x) = L means:…

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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: -x - 4, x 3

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Q: Find the limit. lim Vx X-1

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim f (x) where f(x)…

A: Given f(x)={x2−6x+7 ifx<5−x2+6x−3 ifx⩾5Here we findlimx→5f(x). if if exist.

Q: Find the limit L. Then use the e-8 definition to prove that the limit is L. lim (x + 8)

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Q: Let f(x)=-4x-2 and g(x)=x'. Find the limit. lim g(flx)) x-3

A: Given that  f(x) = - 4x - 2 g(x) = x3

Q: Find the limit if it exists. If the limit does not exist, explain why. (x+h)³-x³ C. lim. h-0 h |x+4|…

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Q: Give an example of a function g for which lim g(x) does not exist, but the function I-2021 value at…

A: Given  limx→2021g(x) does not exists.

Q: Evaluate the limit lim X+2

A: Evaluate the limit at x->1-

Q: Evaluate the limit if it exists. Use proper notation. 3 3-N 9 9x-x2 (b) lim a e«

A: Given: a) limx→93-x9x-x2b)limx→∞x3e-x2

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

A: Let L is the value of given Limit.

Q: x² – 1 lim x→1 /x – 1

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Q: Let f(x) be the function defined by x²+ 4x (xs3) 2x - 1 (x>3) the rule f(x) Find the one-sided limit…

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