2+ -5 -2 -1 -1 2 3 4 5 -2- -3- -4- -5+

Q: 1. Use your knowledge of graphs of functions and their derivatives to find the value of lim Show…

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Q: 2. By drawing a graph illustrate an example of a function f(x) such that it satisfies these three…

A: Topic = Functions

Q: f(x+h)-f(x) In evaluating lim h-0 in f(x)= x² -1, which is the first step? h

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Q: The graphs of f(x) and g(x) meet at x = 1. Evaluate lim g(x) x-1/(x)

A: Given: the graph of f(x) and g(x) meet at x=1

Q: For the function graphed here, show that

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Q: 2* – 8 GU Plot the graph of f(x) = 71. (a) Zoom in on the graph to estimate L = lim f(x). (b)…

A: The graph:

Q: Determine whether the shown statement makes sense or does not make sense, and explain your…

A: The functions whose graphs can be drawn without lifting the pencil off the paper is a continuous…

Q: The figure below shows the graph of a quadratic function, f(x), whose limit at an unspecified…

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Q: A graphing calculator is recommended. Use the Squeeze Theorem to show that lim x? cos(20æx) = 0. x-0…

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Q: 4. Is it possible that there exists some function g(x) and some constant L such that lim g(x) = lim…

A: First we need to understand definition of limit:

Q: Find lim h(x), if possible. X- 00 f(x) = -4x2 + 5x – 3 f(x) (a) h(x) = lim h(x) = X- 00 f(x) (b)…

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Q: ) Find the value of k that makes function continuous at ¤ =4 f(x) = { | 2x +7 > 4 6x -k < 4 (i) If…

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Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: Let us consider limx→a-f(x)=A and limx→a+f(x)=B We have, A is not equal to B. When x gets close to…

Q: lim 극 et – 1 x-1

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Q: 1. Determine whether the function f(x) = x2 + 6x + 9 is continuous at x =-= Sketch its graph…

A: Consider the provided function and the point, fx=x2+6x+9,   x=-2 Evaluate the provided function at…

Q: a) b) c) -4 -3 -2 -1 lim f (x) x-1 lim f(x) X→-2 lim ¿ x- 2*¹ f (x) ¿ f(x) LO 4+ 3- 2+ 1- 0 H -2+ 1…

A: Given that a graph and we find given limits - a) lim(x tends to 1) f(x). b) lim(x tends to -2) f(x).…

Q: Sketch the graph of a function y = f(x) with all of the following properties. a. f'(x) > 0 for -9sx…

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Q: 1. Using the graph of f(x), what is lim, -1/(x)? A. - 00 B. 0 C.-2 D. Does not exist E.

A: As shown in figure, As x tends to -2 from left , f(x) tends to negative infinity . That is…

Q: Evaluate the limit given

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Q: In parts (A)-(C), find the indicated quantity for y = f(x) = 5 – x². A) f(- 1)– f(– 2) (-1)-(-2) f(…

A: Given function is y=f(x)=5-x2f(-1)=5-(-1)2=5-1=4f(-2)=5-(-2)2=5-4=1f(-2+h)=5-(-2+h)2=1+4h-h2…

Q: Suppose that g(x) s f(x) < h(x) for all x + 2 and suppose that lim g(x) = lim h(x) = -5. X-2 X-2 Can…

A: It is given that gx≤fx≤hx and limx→2gx=limx→2hx=-5.

Q: When the function f(x) satisfies f(1) =1,f'(1)= 3 obtain a value of lim/ (2)" -1 x→1 x² – 1

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Q: 14. (a) Use a graph of 1(6) = (1- 2)" f(x) = to estimate the value of lim f (x) correct to two…

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Q: In this exercise we investigate the curve et – 1 y = f(x) ez +1 (a) Explain why –1< f(x) < 1 for all…

A: According to our policy at Bartleby, I can solve only three sub- parts. Given a function :…

Q: (d) lim f(x) x-3 g(x) (e) lim [x²f(x)] x-2 (f) f(-1) + lim g(x) x--1

A: Observe the graph on given limits and see the value of function at the given limits and solve the…

Q: For f(x) = −x^3 + 1/2x + 8 evaluate limx→∞ f(x) and limx→−∞ f(x). Then give the horizontal asymptote…

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Q: 2x f(x) x + 6 10 100 1,000 f(x) -5 -10 -100 -1,000 f(x) Use the results to guess at the indicated…

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Q: 1. Complete the table of values to determine the limits of the function. f(x) = = -1-0.5 -0.1 -0.01…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the limit given

A: Given:

Q: 1. Given that f (x) = -x² + 4x, and a = 2, find f(a + h) – f(a) lim h→0 h Explain the meaning of the…

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Q: (V1-x² ,0<x <1 1sx< 2 x = 2 If y = f(x) = { 1, %3D 2, Graph the function f(x). What are the domain…

A: for the piecewise function y=1-x20≤x&lt;111≤x&lt;22x=2.The graph of the function is,

Q: From the graph: (x) is discontinuous at x= 3 because of (a) Lim f(x) = f(3) (b) Lim f(x) doesn't…

A: According to graph at x = 3

Q: What is wrong with the following equation?   x2 + x − 12 x − 3 = x + 4 (x − 3)(x + 4) ≠ x2 + x − 12…

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Q: lim f(x)=+0, then the limit lim [2² . f(x)] .. If must be equal to zero. must be equal to +00. must…

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Q: The lim(x0) [f(x)] fails to exist because.. (refer to the graph below) * As the function approaches…

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Q: 1. Sketch the graph of a function with the given properties. lim f(x) = 2, lim f(x) = -, lim f(x) =…

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Q: a. lim f(x) =1 and f(0) = -3

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 1. Sketch a graph of a function f(x) with the following properties: f(-2) = 0, ƒ(2) = 0, lim_f(x) =…

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Q: 2 3 The graph of the function f is above. At what x= a value(s) in the interval (-2, 5) does a. lim…

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Q: 45. a) Find lim h(x). b) Find h(1). c) Is h continuous at x = 1? Why or why not? d) Find lim, h(x).…

A: Given Example -

Q: 1-x if x 0 x+2

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Q: x+1 If f (x) : Solve to find lim f(x)? Vx2+5-x'

A: We find limit

Q: 1. Evaluate lim (2x-5) given its graph below. X-2 b. -1 c. 2 d. 1 а. О 2. Given the graph of f(x)…

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Q: 1. Determine whether the function ƒ(x) = x² + 6x +9 is continuous at x = -2. Sketch its graph…

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Q: 2. a. Draw a graph with the following characteristics: lim f(x) = 3 X->2* lim f(x) = 0 %3D x-→2 f(2)…

A: The graph has the properties,limx→2+f(x)=3limx→2-f(x)=0f(2)=3limx→-1f(x)=-2f(-1)=1

Q: Evaluate the limit given

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Q: Suppose that g(x) < f(x) < h(x) for all x 2 and suppose that lim g(x) = lim h(x) = -5. Can we…

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Q: Find the limit of f(x) = 6 - 2 as x approaches o and as x approaches - o. lim f(x) = %3D (Type a…

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Q: According to the graph of f(x) given below, f(x)– 2 (a) Is lim positive? ("yes" or "no") [a] (b) lim…

A: Look at the graph and find few values. f(0) = 2 f(1) = 1 If at any point tangent is parallel to…

Q: (a) What is wrong with the following equation?   x2 + x − 12 x − 3 = x + 4 (x − 3)(x + 4) ≠ x2 + x…

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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.