Given that f(x) = ln(+1), which of the following is equal to the limit f(−2+ h) − ƒ(−2) h lim h→0 O This limit does not exist. −1 2(e+1)² 0 4 ? 0=120

Q: √²³₁(−12xy² + 8x³y + 3)dxdy

A: LetWe have to evaluate the above integral.

Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 9 √x - 45 X - 25…

A: Here we will solve it on doing comparison with the definition

Q: Which of the following limits is equal to f1(x) (i.e. derivative of f), where f(x)=√x² +1 − 2x lim…

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Q: Determine the limit of f(x) as x approaches 2. * 51 f(x) 4- 5 4 2 -i 0 i 2 3 4 5 1- -2 3 5+ 3 1 DNE…

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Q: Based on your work in part a, on what interval(s) is f(x) continuous?

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Q: f(x) = x(3x-(9x2+2)1/2). Compute the limit of f(x) as x tends to positive infinity.

A: Given data:   The expression for the given function is f(x)=x(3x-(9x2+2)1/2).   The expression for…

Q: 2. Assume all given functions are continuous. If lim (ƒ(x) – g(x)) = 10 and ƒ(5) = −8 x → 5 Find…

A: The objective of the question is to find the value of g(5) given that the limit as x approaches 5 of…

Q: Suppose that f(x) = Ax² + Bæ. Find the values of the constants A and B if f(2) = -4 and %3D…

A: We have to use definition of limits.

Q: For f(x)dx = lim f(x," )Ax,, determine the value of Axi. √²₁₂ max Ax, 0 Ola n 21˚ O O n 4-0 O O >18

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Q: For the given function, determine each of the following: 1. f(1) = 5 Ay M −5 −4 −3 −2 −1₁ -2 -3 -4…

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Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: 1. Use the limit formula, and showing all work, find f'(x) for f(x) = -3x³ + 2x -1.

A: To find the differentiation of given function.

Q: A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the…

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Q: The function f (x) is defined by the rule x2 +1 if x 2 - a) Calculate the left derivative and the…

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Q: Let f(x)=√x - 5. f(3 + h) – f(3) h Then lim h→0 If the limit does not exist enter DNE.

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