Problem 3: Given the function g(x) 1 x<-1 x+3' 1 g(x) = %3D -1sx<3 2x2' 1 x>3 4x-3' Evaluate the following limits: lim g(x), im g(x). im g(x) x-

Q: C. X-y= -2 d. x+y =-2 g. -2x - 2y = h. 2x+ 2y=- If f(x) = /x, which of the following represents…

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Q: 2. Construct a table of values to investigate 1 if x -1

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Q: If g(x) is differentiable at x = 1, then lim g(x) = g(1). x+ 1+ True False

A: A function f(x) is differentiable at x=a, if limit exist at x=a and is equal to f(a)

Q: 3. Sketch the graph of a function y(x) with domain (-x, 0) that appears to satisfy each of the…

A: Given: The domain of the function is all real number,  limx→∞y(x)=5limx→-3y(x)=-∞limx→4y(x) does not…

Q: [(x)6 + + (x)]´u X--2 [(x)6 (x)]u

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Q: 1 lim (3x¹ + x³ - 2x) lim (-x² +5x+6) 2 *→ lim √2x² - 8x-3 3 x→→ lim √x³ - 5x 4 x→ -

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Q: Create a function / equation that represents each of the following scenarios: i) A function where:…

A: Part 1 :Objective :Finding a function f(x) where

Q: a) f(x)=x²-2x b) g(x)=√√2x-5

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Q: 1. Let g(x) = 3 %3D I-2 a. Compute lim, g(x); - L X- 2 b. Give equations of any horizontal and…

A: The objective of the question is determine the limit of the given function and find its asymptotes.

Q: Find 3x? arctan x dx.

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Q: 3. lim_ f(x) = X-3- lim f(x) = X-3+ lim f(x) = x-3 f(3) =

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Q: Answer the following questions. Record your answers on the line provided. 1. Use the graph of y=h(x)…

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Q: 1.Find f'(x) using the limit definition of f'(x)= lim (x+h)- f(x) for the following function: f(x) =…

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Q: 8. The function g(x) is written as: 5x + 3 if x 1 Find lim g(1+x²) x-0 g(x)= =

A: To find the limit of g(1+x^2) as x approaches to 0.

Q: 3. For each of the following, give an example of a function f satisfying the giver such a function…

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Q: Suppose we know that y x ER, h(x) ç f(x)Eglx) where Determine lim flxl. X -)0 h(x)= 31-4x2 and 9(x)…

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Q: Q1/(A): At what points is the function f(x) continuous ? x1 (B): Find the following [Choose Five…

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Q: You are given two functions, f and g if - 20 2.

A: solution:-according to the given graph of f(x)limx→0+ f(x)=-1limx→0- f(x)=0

Q: Suppose that a software company produces CDs (computer disks) at a cost of $4 each, and fixed costs…

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Q: Given the function f(x) = x³+2x² (x-1)² with f'(x) = x³-3x²-4x (x-1)³ } and f'(x) = 14x+4 (x-1)4 a.…

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Q: 4. Given that f(x)=4x - 3 f (1+h)- ƒ(1) Find lim ,x21

A: Given query is to find the value of indicated operation.

Q: Consider the following function. (4x2 if x < -1 if -1 < x < 1 4x f(x) = 4 if x 2 1 Find the…

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Q: y = f(x) 2] (4) 3. Calculate or estimate each of the following limits from the graph. (a) lim f(x) =…

A: (a)From the graph, it can be observed that:

Q: If f(x) = 2x² 4x+5 4%-1then %3D liMx->00 f(X)= ANSWER DNE If limit is undefined | 0oes not exist

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Q: Suppose we know the following information about the function f (x): f(-1) = -4, f(2.5) = 3, ƒ(m) =…

A: We have to tell about the type of discontinuity.