2g(z) is If lim, 2 f(r) = 2 and lim, 2 9(x) = 3, then the value of lim, 2 e

Q: (х-а) 2. lim Vx-Va X→a

A:

Q: 2n – 3n² + n 6n Find lim,→x if it erists.

A:

Q: Give precise definitions of the following statements.

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Q: 10х?-3х+1 a) lim x→00 7x2+3x-3

A: Given: limx→∞10x2-3x+17x2+3x-3 For evaluating given limit, we take x2 common then simplify it

Q: lim as x approaches 4 from the right of 8-2x/|x2-x-12| a. 2  b.-2  c. -1  d. 4  e. infinity

A: The given expression is,

Q: х3+x2- х-1 The value of lim -is the same as x3 - 3x- 2 X+ -1

A: Let's find.

Q: x-7 Evaluate lim- +1 Jx-3 - 2 Vx- 3 –

A: Consider the given fraction: limx→7x−7x−3−2Rationalize the…

Q: (*+2x* -1) ? 5. What is f(-2) if lim, 5-3x 12 В. 6. C.- 15 D. -- А.

A: Given that: limx→-2x3+2x2-15-3x

Q: 2z-i Our aim is to prove that lim = 2. Which among the following options is true? Zco z+1

A:

Q: Q2: Find: 3-8 b)lim 8-2x a) lim x-2 5-Vx2+9 x-2 x-16

A: There are some forms in mathematics which cannot be determined. These values are still not known;…

Q: x² - 7x y +12y Evaluate lim(x,y)→(3,1) х- Зу

A: The given expression is limx,y→3,1x2-7xy+12y2x-3y

Q: 2x e-2x2 lim २३

A: We can find the solution by applying the L' Hospital's rule for limit calculation.Here if we get 0/0…

Q: if f(5) = 4, f'(5) = 7, then lim of (f(x²+1) -4)/(x²-4) = ?? when x goes to 2

A: Please see the answer below.

Q: If lim, 2 f(x) = 17, lim,2 9(x) = 13, 29(z) f(r) %3D then lim, 2

A: Follow the procedure given below.

Q: If lim f(x) = 8 and f(7) = 3, then lim (4f(2x + 1)) = %3D %3D x→7

A:

Q: 5x - 1 b) lim Z-+0+ 10z

A: We have to find

Q: x2+2x – 3 if x 22 The value of lim f(x) if f (x) =- 6-x X-2 if x<2

A:

Q: We know lim 2x -1 = 5 x→3     What value of x guarantees that f(x) = 2x -1 is within 0.2 units…

A: Given- limx→32x-1=5 To Find- The value of x that guarantees that 2x-1 is within 0.2 units of 5.

Q: Give precise definitions of the following statements.

A: Given: a.limx→2-fx=5b.limx→2-fx=5c.limx→2fx=∞

Q: lim,-1 f(x) =

A:

Q: f-x² + 10x - 25 < g(x) < a² - < 10x + 25 for 4 <x 6, evaluate lim, →5 9(x).

A:

Q: Н.W: 3 lim x*-2x2-8 1-x2 х2-4 3- lim V3x-3 X-3 2- lim (1+x)2-1

A:

Q: x2-x-6 lim Find: x-2

A: Given

Q: (a) 1? - 9 lim --3 21? + 7t + 3 (ांच 1 (b) lim t/1 + t 4 lim x--4 4 +E x (c)

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 3(r-4) Vx+5 x-4 3-Vx+5 To evaluate: The value of lim

A:

Q: if f(2) = 4 f(2) =1 Then xf (2)– 2f(x). lim х - 2 X2

A:

Q: 2. x+3-16-11x-x ² Lim X-1 GAMA

A: as per our guidelines, I m solving only one question, please resubmit other questions To find1. lim…

Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: Find lim,-2 f(x) 2 -3 -2 -1 2 3 lim→-2 f(x) = 0 %3D lim, -2 f(x) = 2 lim,-2 f(x) = 1 Does Not exist

A:

Q: if x 3 Let f(x) = then lim3 f(x) is x-3

A:

Q: 2 + 3x – 4, X 1. What is lim X-+2 2.

A: Given the limitlimx→2x2+3x-42

Q: 1. Evaluate. ³-2x² +12 a) lim x--2 x² +1 b) lim -8x+7 x-7

A:

Q: 2x2 - 7x + 3 If f (x) = then lim f(x) will be X-3 %3D 5x2 - 12x – 9

A:

Q: 2x2-ху-у? x²-y² Evaluate lim (х.у) - (1,1) (2) 3. 2

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Q: 23 - Vx - 47 Find lim x+ 24 X→-24

A:

Q: xn+xn-1+xn-2+...+ roo (n−1)n-1+(n−2)æn=2+…+ What is the lim ne Zt?

A: This is a problem related to limit and continuity. Based on the general formula and concept we will…

Q: 3 - m3 x + 2 2 . lim lim x-2 x + 2'x2 – x – 6 A- m4 lim as x approaches m 1. LO

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 4r-r lim 4 2-

A: We have to find limit

Q: 21. Find lim x-5 A. 2 B. 3 x² - 7x+10 x-5 C. 4 D. 5

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: If lim f(x) = 8 and f(7) = 3, then lim (4f(2x + 1)) = %3D %3D 3

A:

Q: f(x+Ax)-f(x) Find lim 4x-0 if f(x) = 4x + 5. Дх

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

Q: x²-9 lim is equal to: х->3 х-3 а) 2 b) 3 с) 6

A: It's very easy!!! see in next step

Q: If lim 2 f(x) = 2 and lim-2 9(x) = 3, %3D then the value of limp-2 3f(x) g(x) is а. 3 b. 2 c. None…

A: Explanation: Given that,  limx→2f(x)=2limx→2g(x)=3   Let us assume: f(x)=xg(x)=x+1

Q: 3. X-27 メ-3 lim X-

A:

Q: 8(x) x -1 Find lim

A: Solution is given below

Q: Exercises: Evaluate x2 – 1 - 1. lim 1- 2x 1 3 2x 2. lim x→2+ x – 2 х? — 4 - -

A:

Q: o Find Lim X-→2 2-12X 2- X X #2 @ Find Lim X→2 x* _ 2x² - 8 x - 4 | O Lim 3X X3 X- 3 -3 X ¢3

A: All question are of the indeterminate form( i.e. 0/0 form) We try to remove those term for which it…

Q: f(x)= 4x^2 - 14x -8 / x^2 + 4x, if x /= -4 2x-1, if x= -4 Find lim x -&gt; -4 ^ - and  F(-4)

A: The given piecewise function is,

Q: 7xy? Find lim if it exists. (x,y)→(0,0) x² + y2°

A:

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.