If lim f(x) = 11 and lim g(x) = 23 then lim[2f(x)g(x) – 8] = エー5

Q: If f(x) = x^2+2x-1 and g(x) =(2x-3), find each of the following functions (a) f o g           (b) g…

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Q: Show that lim(5x+2)=-18 x-> -4

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Q: lim2

A: Explained below

Q: x²-4x+4 1. Find lim- 2 x+x-6

A: Part 1,

Q: If f(x) = lim f(x) = X-4 -7 for x = 4, {2} 2x+7 for x #4 then

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Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

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Q: limx→0 (1−cos(5x))/(1−cos(9x))

A: Used L'Hospital rule

Q: Use the graph of the function f(x) to answer each question . S(0) = (b) (c) (a) S(2) %3D S(3) = (d)…

A: The solution is given below in the next step: Looking closely at the graph following questions can…

Q: x²+x-2 1. lim X-o 4x-1

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Q: 4х+2 1. lim 9x² -3 2

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Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: lim (2x-5x) is x--2

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Q: Find lim 2-0 -x-1 x²

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Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

Q: X-V2x+3 If f(x) = *-v2x+3 Solve to find lim f(x)? X-3 X3

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Q: Calculate lim X→-2 x³ + 2x² - 1 5 - 3x

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Q: x*+x3 2. Calculate lim x→0 12x3+128

A: limx→∞x4+x312x3+128

Q: Find y (x +5x)*(x + sec x)5

A: Differentation by two products

Q: lim (5x + 2) = 17x→3

A: We will find the limit by substitution

Q: If lim x→±∞ X = -3, there is

A: Given that:limx→±∞ f(x)=-3

Q: Find lim h-0 f(5+h)-f(5) h if f(x) = -2x-1.

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Q: Use synthetic substitution to find f(2) and f (- 1) for each function. f(x) = x ^ 3 + 6x ^ 2 + x - 4

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Q: Find p(- 2) and p(3) for function p(x) = x ^ 3 - x ^ 5

A: We have given function as  p(x)=x3-x5   We have to find p(-2) And p(3)

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.