Sketch the graph of f(x) given the following: lim f(x) = 2 f(-1) = 1 f(1) = 1 lim f(x) : DNE x→-1 x→1

Q: For the piecewise function f graphed below, find the following. y-axis 6 5 4 3 2 1 78 9 10 11 12 13…

A: Given the graph of a piecewise function f. The objective is to find limit of the function f at…

Q: 2. Use the graph of y = f(x) to answer the following. (a) lim f(x) = . 2 (b) lim f(x) = (c) lim f(x)…

A: Using graph: (a).  Left hand limit: limx→2- f(x)=5

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: Let f(x) be a function with all of the following properties. Sketch a graph of y = f(x). Explain…

A: given that the function f(x) is a function with the following properties: a) f(-1)=2, f(1)=1 and…

Q: 2. The graph of the function y = f(x) is given below. Using the graph t answer each question. (a)…

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Q: a. Use the definition man f(a +h)-f(a) = lim to find the slope of the line tangent to the graph of f…

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Q: Sketch the graph of one and only one function f which satisfies all the conditions listed below. a.…

A: given f(-x)=-f(x)⇒function is oddlimx→4-f(x)=∞ andlimx→4+f(x)=-∞⇒vertical aymptote at…

Q: Consider the graph of the function f(x) below. What is the value of the lim x→3? What is f(3)? this…

A: Here, the objective is to find the following: 1) limx→3fx2)f3

Q: 3.) The two graphs given in the sketch to the right are f(x) differentiable at x = 2. Find lim- x+2…

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Q: Use the graphs of f and g and their tangent lines at (2, 0) to find lim f(x) x+2 g(x) y 1 -1 -2 y =…

A: By using the graphs of  and their tangent lines at  to find .

Q: Evaluate the following limits of the function: Vx - 5 f(x) = 25 – x a. lim f(x) b. lim f(x) x-25…

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Q: Use the given graph of the function y = f(x) to find the following quantities, if they exist. (If an…

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Q: f(x) Use the graphs of f and g and their tangent lines at (2, 0) to find lim x-2 g(x) y = 1.7(x – 2)…

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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.