For the function f graphed as follows, approximate each of the limits and values in Exercises 31–34: 3 1. + + -4 -3 -2/-1 1 2 4 -2- 31. lim f(x), lim f(x), lim_f(x), and f(-2). X-2- X-2+" X-2 32. lim f(x), lim f(x), lim f(x), and f(-1). x-1-* X-1+ X-1 33. lim f(x), lim f(x), lim f(x), and f(2). X2- x+2+ X+2 34. lim f(x), lim f(x), lim f(x), and lim f(x). x-00 3.

Q: At x = 3 + Ax, the value of the function is f(3 + Ax) = 17 - + Ax Hence, (3 + A3²) -( 17 m = lim Ax…

A: Solution: The objective is to fill the required blanks

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A: See the details solution in below

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A: the explanation is based on the fact that on the very definition of limit in saying that purpose of…

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A: To evaluate: limx→5-3x2x+10 Solution: limx→5-3x2x+10 On simplifying further we get:…

Q: Use a graph to explain the meaning

A: Given: limx→af(x)=∞For instance:Let us consider the function to be f(x)=1x2then  limx→0f(x)=∞

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A: To evaluate the given limit. limx→+∞1x5+2x-333-3x8

Q: Using the graph above, evaluate the following : a) limf(x) X-0- b) limf(x) X-0+ c) limf (x) X-0 d)…

A: The graph is given below:

Q: Find the limit

A: We can solve this limit using direct substitution. i.e. putting the value of x =1 in the given…

Q: Use the graph of the function f(x) to answer each question . S(0) = (b) (c) (a) S(2) %3D S(3) = (d)…

A: The solution is given below in the next step: Looking closely at the graph following questions can…

Q: 1. Find the value of the expression lim x²+x+21 X-3 x-1

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A: Given;  limx-2-[1/(x3-8) -2/(x-2) ].

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A: Here I am attaching image so that you understand each and every step.

Q: The graph below is the function f(x) 5 -4 lim f(x) x-0 -5 -4 -3 -2 -1 3 2 1 4 -2 -3 = 4- t-st 1 2 3…

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A: Let  f(x) is a well defined function of x then for constant a and l  , as x approaches to a f(x)…

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A: We have to solve

Q: Use the graph of ƒ to determine the value of lim,→4 f(x). 4 3- 2- 1- -3 -1 1 -14 -4 -2 2. 4 7 y=(x)…

A: To find the value of the limit from the given graph.

Q: calculate the limit

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A: We want to find given integral.

Q: The graph below is the function f(x) -5 -4 -3 -2 f(0) = 5 4 3 2 1 lim f(x) = x-0 + -2 -3 -4 --5- 2 3…

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A: the given expression is: limx→01ex-1-1x…

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Q: Find the limit

A: Given limit:

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Q: 1. Lim x-2 X x² - 4 x³ -x-6

A: Lets factor x3-x-6: x3-x-6=x3-2x2+2x2-4x+3x-6                =x2(x-2)+2x(x-2)+3(x-2)…