x〈3 x = 3 x〉3 Evaluate lim f(x), given that f(x)- 8, x--3 2x +3,

Q: (a) lim f(x) x-1 (Ь) lim f(x) x 3- lim f(x) X-3+ (c)

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Q: lim X

A: Solution :-

Q: lim メーマ- X + | クニュメも A

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Q: lim f(x) X-0 4 3 -2-1

A: The limit of a function at x= a is said to exist if its left hand limit is equal to its right hand…

Q: 2. Question: Prove that the limit does not exist x² + 7x + 9 lim X→-5 x2 - 25

A: Given: limx→-5x2+7x+9x2-25 for evaluating given limit, we put x=-5 in given limit

Q: [3 - x , x 2 a) Find lim f(x) and lim X-2- f(x) X-2+ b)Dose lim f(x) exist ? why? X-2

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Q: Investigate the one-sided limits x of f(x)

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Q: lim xe-x

A: We have to evaluate the limit: limx→∞xe-x Rearranging the question using exponent rule a-m=1am,…

Q: 1-2; x> 2 30. f(x)= 2; x= 2 2-x; x<2 Evaluate a. lim f (x), b. lim f(x), and c. lim f(x).

A: Given f(x)=-2 ;          x&gt;2   2 ;           x=2 2-x;        x&lt;2To find  a)  lim     x→2-…

Q: 3-x x F(x) = (₂ + 1 (a) Find lim f(x) and lim f(x)? x-2+ x-2- (b) Does lim f(x) exist? why? x-2 x 3

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Q: lim x-0 1+x−1

A: Given problem:-

Q: Sketch the graph of a function with the given limits:

A: Given: limx→1fx=∞……1limx→3-fx=0……2limx→3+fx=-∞……3

Q: lim [x – 1||

A: We have to find the given limit

Q: lim F(x) where 2x², -1 < x < 1 F(x) = 3 – x, 1<x < 2

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Q: lim x → 0

A: →When limit is of the form 00 or ∞∞ then we use L'Hospitals Rule  →In L'Hospitals Rule , take…

Q: A = lim R, = lim [f(x1)Ax + f(x2)Ax+.+ n-00 x< 10. Using the above definition, determine whic

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Q: lim x 1 lim -x 1-x

A: topic:- calculus

Q: Answer of each of the question about the graph

A: To find out the following limits.

Q: Sketch the graph of a function with the given limits.

A: let f(x) be a function, has the propertieslimx→1f(x)=∞ , limx→3-f(x)=0 , limx→3+f(x)=-∞

Q: Sketch the graph of a function with the given limits.

A: Given that,

Q: Find the limit

A: We will find the limit by substitution

Q: (x² – 2, x 0, x→0*

A: Given, fx=x2-2,    x&lt;02-x2,    x≥0

Q: LIMITS lim f(x) X→a x² + 9 lim х-з х2 + 2х — 15

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Q: 4. lim f(x) = +∞, x-3 lim f(x) = -o x-3+

A: This is an application of calculus.

Q: Using: lim f(x) = 5 and lim g(x) = 5, evaluate %3D x-3 x-3 lim x-3 f(x)+ g(x) 3f(x) Limit = B..

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: lim f(x) given f (x) x 3

A: Given information: The funtcion is fx=x-1       if  x&lt;32x-3     if x≥3. Calculation: Evaluate the…

Q: 6. lim f(x) = , lim f(x) = 0, lim f(x) = -∞, %3D X-2- lim f(x) = 0, lim f(x) = 0, f(0) = 0 X→文

A: Proceed as shown

Q: 6. lim f(x) = +o, lim f(x) = 0 x-1+ x-1- and f(-1) = -1

A: discontinuity

Q: x- 3x +x Evaluate lim x -x+2

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Q: 5. lim f(x) = +0, lim f(x) = 0 6. lim f(x) = +∞, lim f(x) = 0 X-1- and f(-1) = 0 and f(-1) = -1

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Q: f lim f(x) = 5 and lim f(x) = 6, then lim f(x) x→2+ %3D %3D x→2- x→2

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

Q: 3. Given: lim f(x) = 6 and lim g(x) = 3 a. lim [4g(x)] =

A: It is given that limx→cfx=6   and limx→cgx=3

Q: lim (Vx² + x +1 – x

A: The given limit can be evaluated using L'Hopital rule by first rationalizing the given function as…

Q: I would like to know the solution for # 6 please.

A: The graph of the function f(x) is given and we have to find the limx→1f(x) from the given graph.

Q: lim ecos x = x→0

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Q: lim f(x)=-o, lim f(x)=0 Tーー1 lim f(x) = 0, lim f(x)=-

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Q: lim f(x)= X x3+

A: Definition used -              Limit of a function -               A function approaches to an…

Q: lim f(x) = x →3+

A: Using the graph given in the question the value of limits can be obtain.   3. limx→3+fx The value of…

Q: B. Evaluating one sided limits 0 < x<1 1<x < 2 (X Let f(x) = 13 – x %3D 1. lim f(x) X1- 2. lim f(x)…

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

Q: lim f(x) and lim f(x), where メ→0 -x+1 ifx0

A: The function is given as fx=-x+1    if x≤02x+3     if x&gt;0 find limx→0+fx and limx→0-fx

Q: xample: Using the Sandwich theorem 1. If V5- 2x2 <f(x)< v5– x² for -1< x< 1, find lim f (x)

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Q: lim f(x) for the function f, defined as f(x)= X-1 X-1 √x-1 x²+x-2 x-1 if x 1

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Q: Lim 十+x

A: Solving the problem by substituting the the variable by the value.

Q: lim F(x) =? x-2-

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Q: 7. lim f(x) = -00, lim f(x) = 0, lim f(x) = 0, %3D x→ーの lim f(x) = 0, lim f(x) = - it

A: I have sketched the graph of each function

Q: 2. What is lim f(x)? lim f(x)? Why? X-0" X-0* Y 10 8. 6+ 4- 2- -10 -9 -8 -7 6 -5 -4 -3 -2 -1 4 1 2 3…

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Q: f(2) = 1, f(-1) = 0, lim f(x) = 0, lim f(x) = o0, %3D %3D lim f(x) -00, and lim f(x) = 1 =

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Q: lim f(x) and lim f(x) both --3+ r-3-

A: We have to consider the given statement is true or false according to the given information

Q: lim f(x) = 7 x-9 - ForaI alun

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Q: 6. lim f(x) = +∞, lim f(x) = 0 and f(-1) = -1 %3D x-1- x-1+

A: