In(5x + 2) In 3x Solve lim

Q: А. 1. lim(7x* - x° +15x? – 11) X→-1 5x° + 6x? – 11 2. lim x--2 2x4 - 3x3 - x +16

A: Given:                                           1).limx→-1(7x4-x5+15x2-11)       To solve the given…

Q: Prove rigorously that lim (4 + 8x) = -4. X-1

A:

Q: Show that lim(5x+2)=-18 x-> -4

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Q: In(1+x) -x cosx -1 1. lim x-+0 7- In(2x + 3) 3. lim x-00 In(5x -2)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 4-x lim,.

A: The given limit is limx→∞4-xx

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

A:

Q: 5-Lim メー>0 2x+3x=7

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

Q: 4x 4 lim,-1* - x-1 In x 4 3 5 1 O 2

A:

Q: In(1+ 3x²) lim ex -1

A: Given that:  lim(x tands to 0) [ln(1+3x2)/ex -1] Here i attached solution of this question.

Q: 3. Solve for -). the lim |t In(1 +

A: The given expression of the limit is: limt→∞tln1+3t

Q: In(x-2) 1- Find , limx→2 In(x² -4)

A: Answer and explanation is given below...

Q: lim In (xth)-Incn) X-DO

A: Topic = Limits

Q: (a) n+ (-1) 2n lim

A: limn→∞-1nn+12n

Q: lim x---q -8x2 + 1/x2 + 1

A: To find the limit  limx→q-8x2+1x2+1

Q: Prove that lim X-2 2x2-3x-2 = 5. x-2

A: Topic = Limits The given equation is limx→22x2-3x-2x-2=5

Q: 2х — х +3 compute lim- x>* x² - 2x +5

A:

Q: 4x + x-1 lim 3x- x²

A: Here we have to find limit of the given function.

Q: Prove that lim(4x² – 25) = -9 X-2

A:

Q: |4x – 12| lim Compute x→3- x – 3 -

A:

Q: 17. If lim- X- 200 – 4n + kn² then k =

A: Given

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

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: find the limirt lim JK-6 X30 X-36 Give answer to at least three decimalplaces.

A: Put x=30

Q: 9x +1 lim O-ズ X-1

A:

Q: i) lim (In (3x-2)-In(5x+4))

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 4ー npaメ lim メ-2

A:

Q: (In x)² lim

A:

Q: х-2 Determine lim x→2- 2-V4x-x²°

A:

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: ..... ..... If a and b are constants and lim asin(4x)-btan(8x) 3, x → 0 4xcos x+8sin(12x) then a-2b=

A: Solution is given below:

Q: In(x-2) 1- Find , limx→2 In(x²-4)

A: The given limit is, limx→2ln(x-2)ln(x2-4)

Q: x-3 lim Xx2 - 2x -3,

A: x2-2x-3=x2-3x+x-3        =x(x-3)+1(x-3)        =(x-3)(x+1)

Q: lim (In(4x + 1) – In(5x + 1)) =

A: To find limit of the given problem

Q: lim (In(3x + 1) – In(2x + 1))

A: To evaluate the below limit

Q: Calculate the limit.

A: We have to find the limit: limx→∞ln3x+1-ln2x+1 It is ∞-∞ form. Simplifying further using logarithmic…

Q: In x 6. lim, x

A: Solution:

Q: 2 In x lim x→+∞

A:

Q: + 3х — 1 V4r6 – 2x lim -00

A: Given that:limx→-∞x3+3x-14x6-2x

Q: In (1+x) lim

A:

Q: In x 35. lim

A:

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

A:

Q: 5. Prove lim 5x + 2 = 17. Your work should include pre-work, and formal proof.

A: To solve the following question on limits

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

A:

Q: Find the limits

A:

Q: 5 + 1 lim 200 3x2 .3

A:

Q: 2 Q5/ Solve Lim,1 (; ;). x2-1 x4-1

A:

Q: 8. find limx>2 x-2

A: We have to find the value of limit