1 lim x? - 3x + 2 х |

Q: lim(x→00)[(x^2-2x)/(x^2+1)=?

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

Q: X + 00 3. f(x) 10x10+2x * 8x15+15 + lim 10 r 2x HA:y=o

A:

Q: lim x?-x-e X7-2 2. メール 2-2

A: limx→-2x2-x-4x2-2

Q: x* — х — 6 lim x→2 х+2

A: To find: limx→2x2-x-6x+2 limx→2x2-x-6x+2=22-2-62+2                          =-44…

Q: Lim (x?-zx+3) メーフト 2こ

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Q: x2 5. lim X→ー8 e1

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Q: lim I→-3+ x +3 O a O b 1 - 00 O d

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Q: sin?x-1 10. lim sinx-1 2

A: Let f,g be functions which are continuous and differentiable. If while computing the limit…

Q: x² – 9 (b) lim x→3- x + 3

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Q: Lim x-[xs メ→? 2X2 2x?_8

A: To find the limit

Q: I - 1 (а) lim 41 r + x² – 2x 21? + 3д + 1 (b) lim Iª – x²

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Q: b) lim h-0 (x+h)20-x20 =? h

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Q: lim x16 x → 0 x2 – 2sinx +2x O 272 O 240 о 1

A: we will solve this using L'Hospitals rule.

Q: の lim 3x? メ→ 1-cos (x) b) lim 6) Xうo

A:

Q: lim X+0 2x+ is (A) -3 (B) (D) (E) 2

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Q: 5x' +8x² lim x→0 3x* – 16 r? 3

A: Cancel out the common factor from numerator and denominator than put the x and calculate limit.

Q: 26) lim √√x-3 x-9 x-9 A) -10 B) 1 6 C) -2 D) 5 16

A: we have to find limit.

Q: lim Va2 + 8x +1-x x 00

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Q: lim 3X + x?+2 X-> X+ -2 2X +X2 V 3h +4 -2 lin!

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Q: 2.limт(x—1^-) [ 1/х^2-1) ] - ミ* a. -00.. b. 00 С. О. d. 1.

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Q: sin 9x Evaluate lim X0 5x A. -9/5 C. 9/5 B. 0 D. 5

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Q: X+3 d. lim X-1 4x2 -2x

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Q: x² - 4 lim 1-2 +2 O-00 O 4 O 4 O 2

A: Use  a2-b2=(a+b)(a-b)

Q: lim x?+ 2x-3 Xラ -4" x2 +フx+12 Xャフメ+12

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Q: 2х 12. lim x→4 16–x? х -1 13. lim x→-2* x - 4 х? —

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Q: Find the limits

A: We have to find the limit: limx→2sinx2-4x-2 We know, limx→0sinxx=1 since, limx→0sin00=1 So making…

Q: lim x2 + 4х + 3 X→-1 1 O 2

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Q: 3x?+4x-7 ii) lim x2+9 X00

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

Q: Find the limit

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Q: sin (x? - 4) 1- V 1- lim 2- lim x1 1-x x2 x - 2

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Q: 7. lim (x +3) *+2| x--2- x+2 (a) -1 (b) (c) 1 (d) 8

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Q: (c) lim xe-x/2. x 00

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Q: lim Va? + 8 +1- r .2 I00

A: Given- limx→∞x2+8x+1-x To find- The value of the limit Concept Used- the above expression can be…

Q: lim x?e- X00

A: Given

Q: V3r-1 7. lim X- sin? x-cos(2x)

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Q: Lim TE -2 V-4 シラ4

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Q: 1 2 lim x – 1 a² – 12

A: Answer is 1/2

Q: x + 2 34. lim x2 Vx + 5- 3

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Q: x2 2. Find lim x→0 2ª – 1

A: We want to find limit of the function.

Q: Find each limit, if it exists.

A: Evaluate: 1. limx→∞ x2+2x3-12limx→∞ x2+2x2-13. limx→∞ x2+2x-1

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

A: Given: limx→3x2+3x-18x-3

Q: q(x²) – q(1) lim x – 1

A:

Q: 3x2 + sin(x lim x(x + 5) x→0

A: For simplification divide the numerator and the denominator by x, and then apply the limit as x…

Q: 4) lim(+ 4x + x*) = ? .2 %3D x0*

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Q: х?- 5х + 4 5. lim X→4 x2 - 2x – 8 D. 3.-를 C. - A.

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Q: 2.x2 2а? — Зх + 1 lim x→+ 2x/1 – x

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Q: x² – 16 lim x – 4 1 O 16 8.

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Q: x² + 4 Find Lim x-0 ex + 1' A. 2 В. Оо С. 1 D. 4

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Q: 3i - lim t-25 (t – 20)2

A: We substitute t=25 in the given expression

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

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Q: x? + 4 Find Lim- x-0 2e* + 1 4 А. 3 В. оо 3 D. 4 С. О

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Q: 1 – sec(2x) 6. lim x→0

A: Topic:- limit calculation

Q: 24) lim x sed + X 2 x-0+

A: First we try to find the limit by substitution

Q: 10 sin(4x³) 12x8 lim X→0

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