Sketch a graph of f and use it to make a conjecture about the values of f(1), lim f(x), lim f(x), and lim f(x), or state if they do not exist. X-1 x-1* X-1 x³ +2, x*1 f(x) =. 0, X=1 Choose the correct graph below. O A. OB. Oc. OD. 10 10 Make a conjecture about the value of f(1). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. f(1) = (Type an integer or a decimal.) O B. The value of f(1) does not exist. Make a conjecture about the value of lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x→1*

Q: 4. Which of the following statements about the function y = f(x) graphed here are true, and which…

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Q: 57. Find a formula for a function ƒ that satisfies the following conditions: lim f(x) = 0, lim f(x)…

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A: Graph the function g(x) for x <= 1 and x>1. From graph it is clear that g(x) is continuous.

Q: The graph of a function f is shown in the figure above. Which of the following limf(x) = 1 %3D o lim…

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Q: Use the graph of f(x) to answer the following

A: We will refer to the given plot of f(x) to determine the various values of limit asked in the…

Q: 2) Given the graph of f(x) on [-3, 4] shown below, answer the following: 1 -2 -1 -1 -2 lim f(x) lim…

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Q: 23 let e > 0 be arbitrary. Determine & as a function In formally proving that lim T -7 8 of ɛ. Note:…

A: **As per our guidelines we are allowed to answer only one question at a time.Kindly please re-post…

Q: Give a formula for a function f that satisfies lim f(x) = 00 and lim f(x) = - 0. x2* x2" Choose the…

A: To find the formula for the given function

Q: 4.Sketch the graph of a function f that satisfies all of the given conditions: lim f(x) = 2 , the…

A: Topic:- applications of limit

Q: 1. Approximate the following, given the graph of the function f. If infinite, indicate either o or…

A: Topic-limits and continuity

Q: 10 Find lim f(x) given the graph of f(x) shown above. (If the limit does not exist, enter Ø.) 1-2

A: Find the limit from the graph

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A: Graph of the function is given, we have to find he limit values and function values.

Q: [3] 4. Draw the graph of a function f which satisfies all of the following conditions: lim f(x) = 1,…

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Q: 5. Sketch a graph of a function f that satisfies the given values. f(-2) is undefined, f(2)=8, lim…

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Q: 1. Determine the following using the graph of f provided below. If the value is infinite, specify o∞…

A: If x=c is a vertical asymptote  of the graph of the function f(x) then the right hand limit or left…

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A: We have to limit.

Q: s the table appropriate for approximating lim f I -2 I? If not, why? -2.1 -2.01 -2.001 -2 -1.999…

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Q: 4. Sketch the graph of f. Then identify the values of c for which lim x → c f(x) exists. x², f(x) =…

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Q: 1. Sketch the graph of the function and use it to determine the values of a for which lim x-a f(x)…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 19. Use a calculator or other graphing utility to graph the x² – 2x+1 function g(x) = x-1 (a) Show…

A: Given: g(x)=x2-2x+1x-1(a) g(1)=12-2+11-1=00 which is not definedits displays at x=1⇒f(x)=0(b) limx→1…

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Q: III. Based on the graph evaluate the following. a) lim f(x) = x-1- b) lim f(x) = X→ー1+ c) lim f(x) =…

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Q: ii) Sketch the graphs of f(r) = log, r and g(2) = 2", and state the following limits: (think about…

A: Given functions, f(x)=log2xg(x)=2x

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A: Given

Q: For which of the followiing does lim f(x) exist? I. IIL y Graph of f Graph of/ Graph of f Select…

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Q: 2. Suppose f is a positive function. If lim,»a f(x) = 0 and lim, a g(x) = 0, show that lim [f(x)]•w…

A: limx→afx=0  &  limx→agx=∞

Q: 8) Use the graph of g to answer the questions below. a.) lim g(x) = b.) lim g(x) = c.) lim g(x) =…

A: (e) g'(x) = 0 where the slope of tangent = 0. So the value of x is : (-2) U (-1,1) (f) At x = 2 {…

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A: our objective is to find the value of delta.

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Q: 5. Now, how are the graphs of f(z) = e* and g(z) = In z related? Draw large and clear graphs of both…

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Q: 8. The graph of function f (x) is shown below: a) For what value(s) of x is f(x) undefined? b) At…

A: Using graph

Q: Consider the graph of the f that is given below. Which of the following is NOT true about the…

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Q: 1. Draw the graph of a function f(x) that satisfies the following conditions. f(-2+h) – f(-2) (a) 3)…

A: Given that, a)limh→0f(-2+h)-f(-2)-2+h-(-2)=-1⇒                       f'(-2)=-1 b)f(0)=0 c) f'(0) is…

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A: Solution: Given: Let the function  fx=x  ax -1  ....1 There exist a interval  a>0 , x>0.

Q: 1. (a) Find the interval in which conditions of Rolle's theorem are satisfied for the function f(x)…

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Q: Let g and h be the functions defined by g(x) = -2x? + 4x + 1 and h(x) = ;x² – x + . If f is a…

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Q: 7. Consider the following graph of the function y=f(x). If possible, determine the following [5] y…

A: Solution is given below:

Q: ketch a graph of a function satisfying the following properties.  1) lim f(x)= -2 x--> 5 2)…

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Q: Suppose we are trying to show that lim f() = L where the graph of f(x) is given below. A distance of…

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Q: 6. Consider the graph of f (x) below to evaluate the following: 6- lim f(x) a. 51 b. lim f(x) 4. X0+…

A: Graph of the function is given we have to find its limit

Q: Given the graph f(x) determine lim, »1 f(æ) 4- -1 O 2 0 4 O Does not exist O None of the Above

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Q: The functions f and g and their tangent lines at (4,0) are shown in the figure below. f is shown in…

A: As given limit is of 0/0 form so we can apply the L'hopital's rule.

Q: 3. The graph of f(x) is given below Based on the graph, state the following limits. If any of the…

A: Given query is to find the limits from the graph.

Q: Is the table appropriate for approximating lim gx)? If not, why? -7.1 -7.01 -7.001 7.001 7.01 7.1…

A: We have to check weather the given table is appropriate for approximating the givne limit or Not .

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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.