lim (In(3x + 1) – In(2x + 1))

Q: Find the limits

A: We will find the limit by substitution

Q: (2x-1)(3-x) is (x-1)(x+3) limx→0

A: Given problem is :

Q: 2 |11x - 36x + 9| Determine lim х>3- 9х — 25х-6 9х -25х- 6

A:

Q: 3* –3-* lim x→∞ 3x+3°

A: Since you have posted more than one question we solve the first one for you. For the remaining…

Q: 5-Lim メー>0 2x+3x=7

A: The given limit is limx→∞x2-22x3+3x2-7.

Q: 3x? – 17x + 20 lim 44x2 - 25x + 36 Vx+5-2 lim x+1 Vx2 + 3 - 2 lim --1 x2 - 1

A:

Q: 2х — 1 lim |2x – 1|

A:

Q: 1-x-x² (c) lim x+∞ 2x²-3x+1

A: The answer is given below:

Q: 9. 1 2- 1 lim X-1 1 x2 - x2 - 2x + 1 3x + 2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2x e-2x2 lim २३

A: We can find the solution by applying the L' Hospital's rule for limit calculation.Here if we get 0/0…

Q: Prove that lim(4x² – 25) = -9 X-2

A:

Q: ■ Find the limit.

A: Evaluate limx→∞3x-22x+1

Q: lim In x ( - 127/² + 1)

A:

Q: Find the limit.

A: We can find the limit of an expression by applying the limit point as value of the variable in the…

Q: |4x – 12| lim Compute x→3- x – 3 -

A:

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

A:

Q: 16 2x lim x2 – 4 x – 2 x→2 - -

A:

Q: lim In(x+3) 4) 1

A: Evaluate :     limx→∞ln3xlnx+3

Q: Find the limit.

A:

Q: 2x^5-x^4-1/8x^5+x^3+x-2

A:

Q: 8) lim- x+1 2x²+2x+1

A:

Q: 5. Prove that lim Show your t→-2 t+2 complete solution.

A:

Q: You are not allowed to use L'Hospital's Rule 2x2 – 32 - lim V3x + 4

A:

Q: Find the exists. 5 x а. lim 3 5x'+1 b. lim 10х-3x +7

A: Given that: a. limx→-∞5x-x3b. limx→∞5x3+110x3-3x2+7c. limx→∞5x2+2x2+3

Q: 4ー npaメ lim メ-2

A:

Q: 1:3.5. - - (2n-1) now lim lim (n+1)! 1.3. 5-- - (2n-1)

A: Step1: Here to calculate the limit we value we have used the limit ratio test , where we the given…

Q: 7x2 lim Does not exist

A: To Determine: find the limit  Given: we have limx→07x2x2 Explanation: we have limit limx→07x2x2 let…

Q: Prove that lim(4x2 – 25) = -9 x-2

A: First we use the formula a2-b2=(a-b)(a+b) then put the limit.

Q: 11. lim x→ー4 x2-16 2x2+9x+4 z2-36 12. lim Z--16 Z-6

A: (a) We have the given limit problem as limx→-4x2-162x2+9x+4 On calculating the factors of numerator…

Q: limd x²-1 = X- T2+*]

A: Given questions:           Question 1:                                     limx→1+x2-1=?…

Q: 7) Show that lim = 1. 200 (z-i)3

A:

Q: 2. Rationalize lim(Vx² +1-x) -1- x

A: We have to find limit

Q: b. Find lim (xvx²+1-x²)

A: Here, we take common x.then multiply denominator and numerator by √(x^2+1)+x

Q: * the limit of .7 213 lim- 5x² + 4x – 6 6x + 2x - x00 Not Exist O

A:

Q: 27-x3 1. lim X-3 5x2-11x-12

A: We have to find the limit of one question as per guidelines Please repost other questions again

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

A:

Q: 1. Evaluate. ³-2x² +12 a) lim x--2 x² +1 b) lim -8x+7 x-7

A:

Q: (3+x)² – 9 - Compute lim

A:

Q: 2 – 4x lim x→2+ x –2

A:

Q: 6. Find lim Vx -4 Vx - x>16 x– 16

A:

Q: 1 4 lim X + 2* х-2 In(2x-3)

A:

Q: lim メ→-4 Vx+4 - 2

A:

Q: lim In(5x + 2x) – In(9x* - 4) In(5x² X → 00

A:

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: 1 is 68x+/68² x²+8x+71 lim→-0

A:

Q: 3. Prove lim 3x-7= 2 X-3

A:

Q: 1.3) lim rVx4–1 1-x3

A: