Tutorial Exercise Find the limit. Use L'Hospital's Rule where appropriate. If there is an applicable alternate method to L'Hospital's Rule, consider using it instead. In(5x) lim X- 00 5x

Q: x+1 lim,-o lxl

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Q: Use l’Hospital’s rule where applicable to find each limit.

A: Given, limx→02e5x-25x2-10-25x3 Using L' Hospital’s rule , we have to find limits of this function.…

Q: x³ - 3x2 +4 x→22x-9x²+12x-4 Use L'Hospital's Rule to evaluate lim

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Q: 3 Lim xah

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Q: What is lim ? X-0+ x

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Q: lim x ln x +0+2

A: limx→0+xlnx

Q: Tim X90 χε -3x

A: given limit

Q: If p(x) = (4x) −²e8x, find lim p(x). Your strategy must x →+∞ involve L'Hopital's Rule.

A: Given that To find:-

Q: (Inx)? lim

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Q: lim (x + 1) In(3z+2) е.

A: According to the bartleby guidelines, for more than one questions asked only the 1st question should…

Q: 54. Let f(x) = ={₁ (A) lim+f(x) (C) lim f(x) x--2 x + 3 √x+2 if x -2 (B)_lim_ƒ(x) (D) f(-2) Find

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Q: 2. If lim(x) – 8 I-1 x-1 10, find lim f (x). Explain your answer. %3D

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Q: After you verified that the equation M (x, y) dx + N (x, y) dy = 0 is exact, how do you start…

A: The solution is given as

Q: If f(x) = (1 + 3), find lim f(x). 6x 0-x

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Q: .3 2x -3x lim Зx3 +4 Typ (Туp

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Q: 2 lim_x(x²) +0+x

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Q: (d) lim x/x

A: Given: Let y=limx→∞ x1x To Find: To evaluate the given limit.

Q: Given f(x) = 3/(4-x)3 , evaluate limx=4+ f(x)

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Q: Provide answer step by step show all work

A: To solve these modular arithmetic problems, we can use the properties of modular arithmetic to…

Q: Name the method by determining whether I'Hôpital's Rule should be used or not. CSC x lim x+0+ √x

A: Need to write down the method to determine that l hospital is applicable or not.

Q: Find lim f(x). Enable Zoom/Pan -5 10 -10

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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.