| 2x – 1| – |2x + 1| Evaluate lim

Q: 4x +1 - 3 To evaluate lim X- 2 -, this has to be transformed. Which of the statements below is…

A:

Q: x² - 4x Evaluate lim a xS4 1 -b. Зх — 1

A: Limit of any function at any point x=a is the value, which the function has the tendency to acquire…

Q: x2-4x+3 Evaluate lim x→3 V2x+3-3' ct one: а. 6 b. 3

A: The question is taken from the calculus in which we have to find the limit of given question We…

Q: 2x²+3x Evaluate lim,→∞ x3+x+1 O None O O

A: We have to find limit

Q: lim Vx +3x+6 -2 -2.1 -2.01 -2.001 -2 -1.999 -1.99 -1.9 f(x)

A: limx→-2x4+3x+6 Here, fx=x4+3x+6 When x=-2.1, f-2.1=-2.14+3-2.1+6=4.375854 When x=-2.01,…

Q: V9x2-12x +11 Evaluate lim x-1/3 3.x-1 -2 O NONE OF THESE O O o O O

A: To evaluate the following limit.limx→-13-9x2-12x+113x-1

Q: b ax + x2 Evaluate lim where a>0

A: Limit of given function is solved.

Q: A) Vx2 +8-3 lim x-1 x+1

A: By using l'Hospital's rule we solve the given problem as follows :

Q: Q. 1. Evaluate the following -x* +3x +5x –-18 lim a) 5x2 – 2x-0.5 Vx² +15 - 4 b) lim- x-1

A: Part a,Given,          limx→∞-x4+3x3+5x-185x2-2x-0.5

Q: 2x-x +5x-1ulav ad li eno lim- a) 5x-2x+8 x²- 2x+1 b) lim エートーの x' -3 de or owa oleM of x*-2x+97 lim…

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Q: 12h + 1 - 1 Find lim

A: Given:

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

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Q: x² – 16 Evaluate lim x4 2- Vx O -32 None of these 1 O 32 O does not exist

A: Given  Lt   x²-16/(2- √x)        x->4

Q: X 1. Find 1- x³ 1– + 0 x + 1 lim

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: e2x-1 (1) Lim

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Q: x + 3 Evaluate: lim r→-3 V1 – x – 2

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Q: x² – 1 if x -1 |

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Q: -2x-8 x - 4 (ь) lim O 0° O 100 O c0 O o.00 O c0 - 00 O not indeterminate

A: Given,  limx→∞x2-2x-8x-4  We have to find the form of the limit.

Q: Evaluate: lim (1 + 2* + 3* + ... + 99t)¹/x X→∞

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Q: [2g(x)- 5h(x)] If im g(x) -10 and lim h(z) = 28 then lim %3D

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Q: Зх-1 Evaluate lim x+ x+ 4 (**) Oa. a. 1/3 b. O b. -1 с. 1 O d. 3

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Q: x²-1 X If lim x0 x+1 - ax - b} = 2, Find the values of a and b.

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Q: x² +x-5 1- 2x-x (1) Find lim

A: The given limit,     limx→∞x2+x-51-2x-x3

Q: Зx2 +2х-5 1. lim x-1 х-1

A:

Q: 1x+ 7=3 7-4x 2. Evaluate lim,→∞( x2 4. ) exactly. S

A: To evaluate the below limit

Q: Sx² – 1, (2x + 1, 3 < x < 10 x< 0 Evaluate lim f(x) if f(x) = x→3

A: Since left and right limit at x =3 not equal then we say that limit does not exist at x=3

Q: 3( 1 x-0 x5+x 5-x А. -6/25 В. 625 C. -2/5 D. does not exist lim

A: we have to evaluate the limit

Q: (2x 1, ifx <-2 if x 2-2 %3D 5. lim X-2 (x + 3, .3

A:

Q: 1 (B). Evaluate lim (3 – x) x-2 x→2

A: Given that  lim x to 2 (3-x)^(1/(x-2))

Q: Jxi +5 lim + 5 x² -. Q4/ a) Find

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

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Q: x² - 1 if x 2 x→2* а) 4 b) – 3 с) 3 d) – 4

A: Given function is  g(x) = x2-1   if x≤2x+2    if  x &gt;2 the function is defined in two intervals.…

Q: x-1 x-1+ √2x-x²-1 Evaluate lim

A: limx→1+x-12x-x2-1

Q: 3x+3 x²+5 ;xk x→k

A: Using limit property,

Q: (3x-7 x21 lim f(x) = 19. (x)= r+4 x<1 %3D

A: 19) The given function is fx=3x-7x≥1x2+4x&lt;1 To find: limx→1-fx

Q: x + 3x - 18 O lim X-3 x-3

A: Given: limx→3x2+3x-18x-3

Q: 2r-1 ifr2

A: From the given piece-wise function, when x approaches -1 from the right then the function shows the…

Q: 2x-1 if x2

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Q: x²-16 -4 x +4 - ...lim تساوي

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Q: Let f(x)=x²e*² the value of lim [ƒ(x)]¹* i 1 - is: 4x1 1 a) b) c) 0 d 1 - e 1

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Q: Evaluate lim f(x+h)-f(x) h-0 where f(x) = 2 – 3x². h None of these -X 6x O -6x O 3x

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Q: 4x – 1 4x? +3x Find lim f(x) if 5. x2

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Q: 37 5 If f(x) = 2x + 5x then 3 lim f(r) =

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

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Q: x²+x5-2y lim (xy)-(3,9) %3D x-

A: Given limit lim(x,y)→(3,9)x2+xy-2yx-y

Q: (-x – 8 1-2² – 4x – 4 I-1 ] Check whether lim, -1 f (x)exists or not, where f (x) =

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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: x2-4x+1 2. Evaluate lim X-1 x-1

A: The given question has been solved in detail.

Q: ²+2x-8 Evaluate lim X-2 x-2

A: To evaluate: limx→2x2+2x-8x-2 Given limit is of 00 form, we can solve this limit using factorization…

Q: 3 – 19- 2x+x² Evaluate lim

A: As this is of 0/0 form so use L'hopital's rule and simplify.

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.