Let lim g(x) = -4 lim f(r) = 3| lim h(x) = 0 Find following limits if they exist. If not, enter DNE ('does not exist') as your answer. 1. lim g(x) + f(x) 2. lim g(x) – f(x) 3. lim g(x) · h(x) g(x)| 4. lim I->a f(x) g(x) 5. lim I->a h(x) h(x) 6. lim I-a g(x)| 7. lim /f(r) 1 8. lim I-a f(x)| 1 9. lim а f(2) — Һ(х)

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  7x2…

A: The given expression of the limit is: limx→+∞7x2+10x-12x2-2x

Q: lim x² ln x x-0*

A:

Q: Vx2 – 9 4. lim х-з х — 3 X→3

A: Given limx→3x2-9x-3

Q: Find a Limit using factoring:

A: We have to find the limit using factoring: limx→1x2+2x-3x-1 This is 00 indeterminate form of limit.…

Q: Calculate the limit lim |x+2| / (x+2) as x is approaching 5000^-

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Q: Find the limit. lim etan x x-(1/2)+

A: 0 is answer

Q: Evaluate the limit: lim (x - ln x)* x→0+

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Q: - x² if x 3 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x…

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Q: x² – 1 lim x→1 x – 1

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Q: Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form…

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

A: Given:  fx=x,x≤11-x,x>1 we have to find limx→1+fx we know that when x>1, fx=1-x

Q: 12, Show that the following limits do not exist. (а) lim 1 (x > 0), (b) lim (x > 0), x-0x2 x-0 Vx…

A: Given: d) limx→0sin1x2 to prove limit does not exist.

Q: B) Find the limits by using L.Hopital rule : x²–16 2. lim x→4 (Vx+5)-3

A: The function is a rule that associates or fixes a number to the particular point x. If , then the…

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  5x2…

A: Consider the given function:

Q: 1 if x – 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x -…

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Q: 1 3) lim (1+ 8x) x→0+

A: Find the limit

Q: x? + 4x – 21 - Calculate the indicated limit.lim If a limit does not exist then answer +o O, or DNE…

A: 1. L=limx→3x2+4x-21x2-7x+12  =limx→3(x-3)(x+7)(x-3)(x-4)  =limx→3x+7x-4  =3+73-4L=-10 OR by using L'…

Q: 5) Does the limit |x+1| lim x-1 x+1 exist? If yes, find its value, if not - explain why. Show all…

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Q: 6. Calculate limit: lim tg x X→0 2-V4+3x

A: Here we have to calculate Limit =limx→0 tgx2-4+3x

Q: What is lim )-7(0) if f(x) = 2x2 + 1? x-0 The limit does not exist. 1

A: Solve for the limit

Q: Evaluate the limit. limx→2 e^x^2−e^4/ x^2 −2x

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Q: 2-メ Compite lim %3D Xラム z(T-X)

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Q: X- Zx +3x+2 lim

A: Solution of question as follows

Q: 2. If it exists, find lim f(x) where X--1 x =-1 f(x) = { *x– 1)³, x+-1 4, If the limit does not…

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Q: Find the limits limx→0+x-1/ln x

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Q: (b) Find the following limits WITHOUT using the L'Hopital’s Rule. x²–4x lim x→0- |x| (i) (ii) 2tan?x…

A: Part i,Given,           limx→0-x2-4xx

Q: 2) lim x’e-8r

A: Explanation of the answer is as follows

Q: Given that lim f(x) = 2 .lim g(x) = -4 .lim h(x) = 0 Find the limit lim[h(x) – 39(x) +1]

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Q: 4) Determine the limit. lim 1 f(x), where f(x): X + 10 X-- 10-

A: Given, f(x)= 1/(x+10)

Q: When trying to explain an infinite limit. What does it mean to say that: lim as x approaches 0…

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Q: 2 – x x2 if x 5 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(æ)…

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Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→0  x −…

A: We have to estimate the limit numerically if it exists.  a) limx→0(x-3) b) limx→0(x-1)

Q: 28. Use the limit definition, lim 7 (x+h)- f(x) to determine the derivative of x-1. [Value of 4] h0

A:

Q: Find the limits limx→0+x (ln x)2

A: Consider : limx→0+x(ln2x). Modify the limit function. limx→0+(ln2x)1x…

Q: Find limit  lim x--> infinity of f(x)= (1+7/x)x

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Q: c) lim -4e-x

A: c) limx→∞-4e-xlimx→∞-4ex

Q: Evaluate the limit below. 1 lim (x,y)→(0,0) 1-x2-y?

A: limx, y→0, 011-x2-y2

Q: Find the limits limx→e+(ln x)1/(x-e)

A: Limit:      x→e+limln x(x-e)=h→0limln (e+h)(e+h-e)

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: Find the limits limx→0+x tan (π/2 - x)

A: Given that, f(x)=x tan (π/2 - x) We have to find, limx→0+xtanπ2-x

Q: (2) lahäi .. Find the value of Limit Below x² – 10x – 25 lim x-5 x2 – 4x – 5 -

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Q: х, x 1

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Q: estimate the limit numerically to two decimal places or state that the limit does not exist

A: Given:

Q: V-1-x +5, if x -2 Calculate the following limits. Enter "n" for a limit which does not exist. lim…

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Q: Suppose lim g(x) = 4, lim f(x) = 0, lim h(x) = -5. %3D Xa Xa Find following limits if they exist.…

A: It is given that,  limx→ag(x)=4,  limx→af(x)=0,  limx→ah(x)=-5 we have to solve, 4) limx→ag(x)f(x)5)…

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

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

A: To evaluate the given limit: lim(x,y)→(0,3)x4-y4x2+y2 Here, note that…

Q: II- Calculer les limites suivantes: CS Scanned with Camx³x3+4x-5 0071-x II- Calculate the following…

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Q: Find the limit. (- 3m=) lim In x x→0+

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Q: Find g'(x) for g(x)=-x^2+3x+2 by using the limit definition of a derivative.  lim x-->0…

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