2 - Vx2 lim x→-2 x + 2 – Vx2 + 4x + 4

Q: x-1 2+3t+2 lim x-1 Vx+3 - 2 (ii). lim t--1 2-t-2

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Q: 2x +3 e that lim x2 + 5x 2

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Q: lim (Vx² +1 – (x+ 1))

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Q: -5x° + x* + 2 – 5x° + x* (a) lim 3x +4x' +1 6. 1/3 X. - (b) lim x>1 x² - 1

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Q: 2-x 3. lim X-2 Vx-5

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Q: 4x3 + 6x² – 2 18. lim x→-o 2x3 – 4x +5 x2 22. lim xH0 Vx4 x+ 3x2 26. lim хн00 4x — 1

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Q: z +3 - iv2 lim z--3+iv2 z² + 6z + 11 1. 2.

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: Find the limits

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Q: 6х2+1 2. Find lim X→0 V4x4+3x+1

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Q: 1-x-x² (c) lim x+∞ 2x²-3x+1

A: The answer is given below:

Q: lim 5x +2 1. -1 lim 3x2 – 6x +1 2. +4 lim vx 3. *+2 3. m vx2- 5x + 7

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

Q: b. lim x->0+ -3/x 2 X²

A: A limit is a value that a function approaches as the input approaches some value. Limits are…

Q: z²+1 lim- z4-1 %3D z-1 3.

A: To find:   limz→iz2+1z4-1 z4-1=z22-12          =z2-1z2+1                       a2-b2=a-ba+b

Q: x-1 lim T→3 x2-4x+3

A: Topic:- Limit  Limit at X ---->3 is does not exist.

Q: lim (2 - Vx +2)

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Q: 10. lim( +1-V +1-)

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Q: 2 - x lim x-2 Vx + 2 - 2

A: we have to evaluate the following limit . For this we can use rationalisation

Q: 3 lim WrZ_3K -x). x2-3X

A: The value of the limit is, - 3/2 The detailed solution is as follows below:

Q: X 2 +2 x-2 3. Find lim 4. Prove that lim(2x² +1)=3

A: Dear student,                       According to our guidelines we are supposed to answer only first…

Q: x2-1 lim x-1 Vx-1

A: The given limit is limx→1x2-1x3-1

Q: x² + 2x – 8 - (g) limx→2 -2 X- Vx² + 5 – (x + 1)

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Q: b. limx-3= In(x-2) %3D X-3

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Q: x-2 6. lim x-2-2-V4x-x²

A: To find:  limx→2- x-22-4x-x2

Q: /3x² – 3x + 1 lim 1– 2x x--00 V3 does not exist 3 2 -V3 ||

A:

Q: डणि2X Lim 2. x²

A: We have to find the limit of given function.

Q: 54. lim 2 (2-x)' 55. lim y r+1 x-1 56. lim (Vx+ +2x-V-2x

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Q: x- 1 lim Vx² +3 – 2

A: given limit

Q: Lim 1-Vx X-1 1-

A: We have to find given limit.  Concept:

Q: V3+x-V3 is limx→0

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Q: 2+x (b) lim 1-2-2+x²

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Q: 4x2+11х-3 (i) lim x→-3 9—х2 (ii) lim 2 -1 *-4 х36 6-х Vx2+9-V2x2+9 (iii) lim х-0 VЗx2+4-V2х2+4

A: We will solve the following

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

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Q: lim, (V+x+1 - V+1) – Vx² x* + 1

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Q: Find: lim→1+i z2 –z+1-i i z2-2z+2

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Q: 3x²+2x+1 Q1: Using the L Hopital Rule Evaluate: lim x→0o 5x2+3x+3

A: Given: limx→∞3x2+2x+15x2+3x+3  ……1

Q: Vz - 3 lim z-3 z2- 9

A: We know,  limx→af(x)=f(a) a2-b2=(a-b)*(a+b)

Q: 4x-x2 lim- x-4 X-Vx 12 O 16 O 11 O 13 O السؤال 7

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Q: (b) lim *+1 √√2x+6-2 x²-1

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Q: 4x - x2 5. lim (+4 2- Vx

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

Q: 4х-8 lim Jx² +16

A: Try to put 'x' in denominator , so that when x tends to infinity then that term will become zero.

Q: Væ+11-/11 lim x→0

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Q: x2+1 lim X-1 V 2x2+2

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Q: lim 2V3. +onx 2cosx+1 %3D 6.

A: Our Aim is to evaluate limx→π623×tanx2 cosx+1 -(i)

Q: (x-a) 2. lim x→a Vx-³Va

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Q: Find the following limits algebrically.

A: Part(a)

Q: 6.lim 2+x-VZ

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Q: 3x-2x 7. lim- X0 x2-x 8. lim x→∞ x²(ex – 1)

A: