Evaluate r (n+) lim as n- 00 VnT (n+1)

Q: Evaluate the limit. 3 -2 lim x>1 3 x - 1

A: Given- limx→1-3x3x-2x-1 To Find- The value of the limit.

Q: Evaluate the limit x2 + 20x + 100 lim I→ – 10 x + 10

A: Solution:-      Step:I      Evaluate the limit.       limx→-10          x2+20x+100x+10

Q: Evaluate the limit 5 + 2x lim 2 3x -

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Q: Find the limit algebraically. 2x lim 16 -x - 4 O - 16 O 16 O -8

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Q: Find the limit. lim x→-2 x2-4/x+2

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Q: 4 lim x -1) X x27

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Q: Find the limit. lim 3 4 + X-00

A: We can solve this given limit as below

Q: Find the limit L.

A: To FInd:limx→6 3

Q: Evaluate the limit: 4x + 4 lim x -1 x2 -2x-3 %3D

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Q: Evaluate a* -b* lim - b* x→0 X

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Q: Evaluate the limit. 2х — 2п lim x-n |x – 1|

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Q: Reduce the expression and then evaluate the limit. x2 – 1 lim x-1 x3 - 1

A: Factorise the both polynomials and cut the common factor the put x=1

Q: Evaluate the limit. Vx2 lim x² + 3 3x2 + 1 x- 00

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Q: Evaluate the limit. lim I->0 V1+ 7x -1

A: Using limit,

Q: Evaluate the limit: lim 4e10x – 4 13x - x→0

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Q: Find lim x→3- x2 – 9 for o, -inf for -o, and DNE

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Q: evaluate the limit lim (x + 1)(3x^2 − 9) x→2

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Q: Find the limit. lim x→3 1−x2/(x-3)2

A: Given, The limit limx→3 1-x2x-32  We have to find the limit.

Q: Find the limit: lim Vx -4 x- 16 x - 16

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Show that lim n->∞ (1 + x/n)^ n = e^x for any x

A: Express (1+ x/n)^n using e in the base

Q: Evaluate the limit. 3 1 lim -1-\2x² + x –1 x + 1/

A: limx→-132x2+x-1+1x+1

Q: Evaluate the lim x>0 Vx+1-1

A: Solve the given

Q: Find a number b such that lim- .2. x²-4 =2 x-b x-x -2

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Q: Find the limit. lim X+3 X-3- O -1 -00

A: Find the limit

Q: 37. Find lim f(x) if, for all x, -4x+6 < f(x) < x²-2x+7. x→-1

A: As question number 37 is highlighted solving that only.

Q: Evaluate the limit. 9 lim x → 0 8x4

A: The given limit is, limx→∞98x4. Obtain the value of the limit.…

Q: Find the limit. 9) lim 1+ x3

A: See the details solution in below

Q: Q1/ Find the following 1. lim x2 + 1 = 2 x00 (x-2)2 2. lim x-2 (x-2)(x+2) 3. lim (5 -) x-0

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Q: Find the value of * lim - 1 - 1 1 +x

A: Let us take f(x)=x11+x-1. Then we have to find limx→0f(x).

Q: Find the lim f(x) if, for all x > 13, 7x – 3 < fx) < 7x² + 4x

A: Given : 7x-3x &lt; fx &lt; 7x2+4xx2

Q: Find the Linmiti lim (xt +2X) メ→ - o

A: Limit of a function.  End point Behaviour.

Q: Find lim *2 x -2 In(x- 1) by using the La'Hospital Rule.

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Q: lim (3x + 5) = 2, x→-1

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Q: Suppose that lim 2f(x) + 3x – 15 = 5. Find lim f(x)

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Q: Find. 1) a. lim f(x) and b. lim f(x). 3- 4-

A: Answer and explanation is given below..

Q: Use the e-8 definition to show that lim VI = 2. Z-14

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Q: 3x lim x→∞ √x²+1

A: We can evaluate the limit as below.

Q: Evaluate the limit 2x + 4 lim I→ 0 3x2 - 7x + 7

A: Given

Q: Evaluate the limit. 6x2 – 8 lim x → - 0

A: Given, limx→-∞ 6x2-8   We have to evaluate the limit.

Q: Use the e-d definition to show that lim x2 I→2

A: In this question we will use basic of calculus i.e basic of limits. We will simply find the limiting…

Q: Evaluate the limit: 4(22 - 1) 3x (x – 1) lim |

A: Given : limx-&gt;4 4(x2-1)/3x2(x-1)3

Q: Evaluate the limit. 3x 街(一” -4 - lim X00

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Q: Evaluate in terms of the constant a.

A: Given :            limx→ax-ax-a

Q: Evaluate the fallowincx: Lim ー- G+ 76 - 2J反 +- - 4x° 1 x2 メーマ-O 3 -8x+ 7x - 455 -飯 -5 x3

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Q: 2. Find the imit lifany) メー5 X-25 lim X25

A:

Q: Find the. limit lim 11+X -3 X-2 X+2

A: Given:         limx→−211+x−3x+2

Q: Evaluate lim where k>0 X-k

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Q: Evaluate the limit: I + 9x + 8 lim 8. lx + 8

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Q: Evaluate the limit below. 28 – 4x + 7x2 lim -9x² – 4 - 4

A: LetL=limx→∞ 28-4x+7x2-9x2-4Divide N and D by x2L=limx→∞ 28x2-4xx2+7x2x2-9x2x2-4x2L=limx→∞…

Q: Evaluate the limit. 6 lim x →7 x – 7

A: To determine the left-hand limit, apply the constant multiple rule limx→acfx=climx→afx and find the…