V x + 9 - 5 lim X--4 x + 4

Q: x² + 6x - 7 lim x² - 1

A: Given:  limx→1x2+6x-7x2-1 To find: The limit.

Q: x² – 4 - lim 3 x→-2 x + 8 O 2/3 О 13 О 13

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Q: Va² –3 –2 \, x2+1 lim x→-1

A: Given: limx→-1x2-3-2x2+1

Q: x² – 21x + 54 - lim x → 3 х — 3 - II

A: x2-21x+54=x2-18x-3x+54=x(x-18)-3(x-18)=(x-18)(x-3)

Q: x²+2x-15 lim X-5 |x+5|

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Q: x + 2 lim x³ + 8 x--2

A: We have to find the given limit: limx→-2x+2x3+8 Since it is 00 indeterminate form so simplifying the…

Q: b) lim x-13 X-0

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Q: x² – 9 (b) lim x→3- x + 3

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Q: x+ 4 5) lim x+ -2 x' + 7x + 2x - 40

A: Apologies. We only answer one question at a time. We will answer question 5 as the exact one wasn't…

Q: х2+x-12 9. lim x-3 2x2-7х+3

A: Given: limx→3x2+x-122x2-7x+3 To Find: To evaluate the given limit.

Q: r2-25 lim x-5 x-

A: I have provided the answer in step 2.

Q: 2r – 5x²/x Find lim x5/2 – 3x +1 — Зх + 1 X- 00

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Q: x²+x-2 1. lim X-o 4x-1

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Q: x2 - 6x + 8 lim X 2 X - 2 1

A: The objective of the question is evaluate the limit.

Q: x+5 -lim x-5 r²+25,

A: Given limit, limx→5x+5x2+25

Q: x|2x-4| lim x2+2x-3

A: Given query is to find the indicated limit.

Q: .3 5x* + 2х -1 3. Find lim .3 Зx* +5х—7

A: We need to take common highest degree from numerator and denominator

Q: x+4 x-2 5) lim x +7x + 12 6) lim 2 x-5x+ 6

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Q: (а) 5x-3 – 4 (i) Lim x-00 2x-2 +9 (х — 3)2 (ii) Lim x-00 x2 7- 2x – 3 2

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Q: (a) 5x 3 (i) Lim X>0 2x4 +9 4 -2 + 9 (x-3)² (ii) Lim x? 2 2x- 3 X00

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Q: x2 + 5x + 6 14) lim X--00 X х3.7x2 + 17

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Q: b) lim 5+x5

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Q: 3x2+11x+10 lim x→-2 4. Evaluate: x2 -4

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Q: if f(2) = 4 f(2) = 1 Then Xf(2)-2г (х). X- 2 lim x-2

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Q: x2 + 15x + 54 - lim x--6 x² + 36

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Q: 2 (x²+3) – 3 1- lim, 0 x²

A: limx→0(x2+3)-3x22

Q: x2 – 36 lim x+-6 x + 6

A: The limit of any function f(x) at any point x=a is the value in which the function has the tendency…

Q: V – 5x + 3 62. lim x→-∞2x + x/3 - 4

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Q: x+5 lim x→-5 V x² – 9 |-4 2 -

A: Limit of function at variable tending to any value defines the value of the function when the…

Q: x² + 25- 13 lim x--12 x+12

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Q: V2 lim x-2 x- 2

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Q:

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Q: 3x 2+13x+4 p. Evaluate: lim x--2( 2x 2+5x-12

A: Topic = Limits

Q: ■ Find the limit.

A: Given, limx→∞x4-3x2+xx3-x+2

Q: Sx² + 6,x < 2 lim x-2+ (6x + 1 ,2 < x g) |x-2| lim x→2- x-2

A: By using limit property and modules property

Q: x2 – 4 lim x→-2 x3 + 8

A: To find the value of limit we use the following formula  a3+b3=a+b(a2-ab+b2) a2-b2=a+ba-b

Q: 5x-3 - 4 O Lim X-00 2x-2 +9 (x- 3)2 O Lim X00 X2 -- 2x - 3

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: x+3 lim x→2 x² – 4

A: Consider the limit  limx→2x+3x2−4

Q: x² 12x + 27 - lim x → 9 x – 9 -

A: limx→9x2-12x+27x-9

Q: x+2 Find lim x+7 X-3

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Q: 4 1- 5x lim x--9 \1+9x

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Q: 3 - Vx+4 12. lim X-5 х-5

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Q: 4 -x За. lim x² + 9

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Q: Find x2 +2x 3\ lim X→-3 x2 + x -6

A: We have to find the limit: limx→-3x2+2x-3x2+x-6 Since it is 00 indeterminate form so making it…

Q: b) lim x²-25 X-4 X+5

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Q: x'-1 lim x0 2x? -7x +5

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Q: x2+9-3 2. lim x2

A: Given query is to find the limit of the expression.

Q: 5+x-4x2 3. lim V1+x²+2x4

A: Given:                       limx→∞5+x-4x21+x2+2x4   Taking x2 common in the numerator and  x4 in…

Q: x² –16 lim а. x→4 x-4

A: